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UVORK5CYII=" 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aria-label="Est égal à"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/equals.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/equals.svg)"></div></button><button tabindex="-1" class="KeyboardButton_key__5K6rT undefined " aria-label="Ajouter"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/add.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/add.svg)"></div></button></div></div><div class="SoftKeyboard_lastRowWrapper__TX8ai"><div class="SoftKeyboard_keyRow__PD9Jh SoftKeyboard_lastRow__WPEVg"><button tabindex="-1" class="KeyboardButton_key__5K6rT KeyboardButton_special__Q6W9n " aria-label="Effacer tout"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/clear.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/clear.svg)"></div></button><button tabindex="-1" class="KeyboardButton_key__5K6rT KeyboardButton_special__Q6W9n " aria-label="gauche"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/leftarrow.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/leftarrow.svg)"></div></button><button tabindex="-1" class="KeyboardButton_key__5K6rT KeyboardButton_special__Q6W9n " aria-label="droite"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/rightarrow.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/rightarrow.svg)"></div></button><button tabindex="-1" class="KeyboardButton_key__5K6rT KeyboardButton_list__mnrv_ " aria-label="Nouvelle ligne"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/vertical-list.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/vertical-list.svg)"></div></button><button tabindex="-1" class="KeyboardButton_key__5K6rT KeyboardButton_special__Q6W9n " aria-label="Retour arrière"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/backspace.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/backspace.svg)"></div></button><button tabindex="-1" class="KeyboardButton_key__5K6rT KeyboardButton_solve__670gS " aria-label="Résoudre"><div class="KeyboardButton_svg__3d8RW" style="-webkit-mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/solve.svg);mask-image:url(https://bingedu.azureedge.net/mathuxjs/image/keyboard/icons/v2/solve.svg)"></div></button></div></div></div></div><div id="announcement" style="top:0;position:fixed;opacity:0"></div></div></div><div style="height:3px"></div></div><div class="Examples_examples__kD_vC"><div style="max-height: 103px;" class="Examples_items__0_BK9"><a href="https://mathsolver.microsoft.com/fr/solve-problem/%7B%20x%20%7D%20%5E%20%7B%202%20%7D%20-%204%20x%20-%205%20%3D%200" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Équation du second degré</div><div class="hidden"> <!-- -->{ x } ^ { 2 } - 4 x - 5 = 0</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="x, squared, minus, 4, x, minus, 5, equals, 0" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 0.947438em; vertical-align: -0.08333em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal">x</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.864108em;"><span class="" style="top: -3.113em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right: 0.222222em;"></span></span><span class="base"><span class="strut" style="height: 0.72777em; vertical-align: -0.08333em;"></span><span class="mord">4</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right: 0.222222em;"></span></span><span class="base"><span class="strut" style="height: 0.64444em; vertical-align: 0em;"></span><span class="mord">5</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.277778em;"></span></span><span class="base"><span class="strut" style="height: 0.64444em; vertical-align: 0em;"></span><span class="mord">0</span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/4%20%60sin%20%60theta%20%60cos%20%60theta%20%3D%202%20%60sin%20%60theta" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Trigonométrie</div><div class="hidden"> <!-- -->4 \sin \theta \cos \theta = 2 \sin \theta</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="4, sine, theta, cosine, theta, equals, 2, sine, theta" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 0.69444em; vertical-align: 0em;"></span><span class="mord">4</span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mord mathnormal" style="margin-right: 0.02778em;">θ</span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mop">cos</span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mord mathnormal" style="margin-right: 0.02778em;">θ</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.277778em;"></span></span><span class="base"><span class="strut" style="height: 0.69444em; vertical-align: 0em;"></span><span class="mord">2</span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mop">sin</span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mord mathnormal" style="margin-right: 0.02778em;">θ</span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/y%20%3D%203x%20%2B%204" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Équation linéaire</div><div class="hidden"> <!-- -->y = 3x + 4</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="y, equals, 3, x, plus, 4" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 0.625em; vertical-align: -0.19444em;"></span><span class="mord mathnormal" style="margin-right: 0.03588em;">y</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.277778em;"></span></span><span class="base"><span class="strut" style="height: 0.72777em; vertical-align: -0.08333em;"></span><span class="mord">3</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right: 0.222222em;"></span></span><span class="base"><span class="strut" style="height: 0.64444em; vertical-align: 0em;"></span><span class="mord">4</span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/699%20*%20533" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Arithmétique</div><div class="hidden"> <!-- -->699 * 533</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="699, times, 533" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 0.64444em; vertical-align: 0em;"></span><span class="mord">6</span><span class="mord">9</span><span class="mord">9</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">∗</span><span class="mspace" style="margin-right: 0.222222em;"></span></span><span class="base"><span class="strut" style="height: 0.64444em; vertical-align: 0em;"></span><span class="mord">5</span><span class="mord">3</span><span class="mord">3</span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/%60left%5B%20%60begin%7Barray%7D%20%7B%20l%20l%20%7D%20%7B%202%20%7D%20%26%20%7B%203%20%7D%20%60%60%20%7B%205%20%7D%20%26%20%7B%204%20%7D%20%60end%7Barray%7D%20%60right%5D%20%60left%5B%20%60begin%7Barray%7D%20%7B%20l%20l%20l%20%7D%20%7B%202%20%7D%20%26%20%7B%200%20%7D%20%26%20%7B%203%20%7D%20%60%60%20%7B%20-1%20%7D%20%26%20%7B%201%20%7D%20%26%20%7B%205%20%7D%20%60end%7Barray%7D%20%60right%5D" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Matrice</div><div class="hidden"> <!-- -->\left[ \begin{array} { l l } { 2 } &amp; { 3 } \\ { 5 } &amp; { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } &amp; { 0 } &amp; { 3 } \\ { -1 } &amp; { 1 } &amp; { 5 } \end{array} \right]</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="$$\left[ \begin{array} { l l } { 2 } &amp; { 3 } \\ { 5 } &amp; { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } &amp; { 0 } &amp; { 3 } \\ { -1 } &amp; { 1 } &amp; { 5 } \end{array} \right]$$" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 2.40003em; vertical-align: -0.95003em;"></span><span class="minner"><span class="mopen delimcenter" style="top: 0em;"><span class="delimsizing size3">[</span></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">2</span></span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">5</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">3</span></span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">4</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span></span></span><span class="mclose delimcenter" style="top: 0em;"><span class="delimsizing size3">]</span></span></span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="minner"><span class="mopen delimcenter" style="top: 0em;"><span class="delimsizing size3">[</span></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">2</span></span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">−</span><span class="mord">1</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">0</span></span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">1</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">3</span></span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">5</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span></span></span><span class="mclose delimcenter" style="top: 0em;"><span class="delimsizing size3">]</span></span></span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/%60left%60%7B%20%60begin%7Barray%7D%20%7B%20l%20%7D%20%7B%208%20x%20%2B%202%20y%20%3D%2046%20%7D%20%60%60%20%7B%207%20x%20%2B%203%20y%20%3D%2047%20%7D%20%60end%7Barray%7D%20%60right." class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Équation simultanée</div><div class="hidden"> <!-- -->\left\{ \begin{array} { l } { 8 x + 2 y = 46 } \\ { 7 x + 3 y = 47 } \end{array} \right.</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="$$\left\{ \begin{array} { l } { 8 x + 2 y = 46 } \\ { 7 x + 3 y = 47 } \end{array} \right.$$" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 2.40003em; vertical-align: -0.95003em;"></span><span class="minner"><span class="mopen delimcenter" style="top: 0em;"><span class="delimsizing size3">{</span></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width: 0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.45em;"><span class="" style="top: -3.61em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">8</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">2</span><span class="mord mathnormal" style="margin-right: 0.03588em;">y</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mord">4</span><span class="mord">6</span></span></span></span><span class="" style="top: -2.41em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord">7</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">3</span><span class="mord mathnormal" style="margin-right: 0.03588em;">y</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right: 0.277778em;"></span><span class="mord">4</span><span class="mord">7</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.95em;"><span class=""></span></span></span></span></span><span class="arraycolsep" style="width: 0.5em;"></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/%60frac%20%7B%20d%20%7D%20%7B%20d%20x%20%7D%20%60frac%20%7B%20(%203%20x%20%5E%20%7B%202%20%7D%20-%202%20)%20%7D%20%7B%20(%20x%20-%205%20)%20%7D" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Différenciation</div><div class="hidden"> <!-- -->\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="start fraction, d, divided by, d, x, end fraction, start fraction, left parenthesis, 3, x, squared, minus, 2, right parenthesis, divided by, left parenthesis, x, minus, 5, right parenthesis, end fraction" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 2.42711em; vertical-align: -0.936em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.37144em;"><span class="" style="top: -2.314em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord mathnormal">d</span><span class="mord mathnormal">x</span></span></span><span class="" style="top: -3.23em;"><span class="pstrut" style="height: 3em;"></span><span class="frac-line" style="border-bottom-width: 0.04em;"></span></span><span class="" style="top: -3.677em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord mathnormal">d</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.686em;"><span class=""></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.49111em;"><span class="" style="top: -2.314em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mopen">(</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">5</span><span class="mclose">)</span></span></span><span class="" style="top: -3.23em;"><span class="pstrut" style="height: 3em;"></span><span class="frac-line" style="border-bottom-width: 0.04em;"></span></span><span class="" style="top: -3.677em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mopen">(</span><span class="mord">3</span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.814108em;"><span class="" style="top: -3.063em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">2</span><span class="mclose">)</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.936em;"><span class=""></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/%60int%20_%20%7B%200%20%7D%20%5E%20%7B%201%20%7D%20x%20e%20%5E%20%7B%20-%20x%20%5E%20%7B%202%20%7D%20%7D%20d%20x" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Intégration</div><div class="hidden"> <!-- -->\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="integral, start subscript, 0, end subscript, start superscript, 1, end superscript, x, e, start superscript, minus, x, squared, end superscript, d, x" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 2.47596em; vertical-align: -0.91195em;"></span><span class="mop"><span class="mop op-symbol large-op" style="margin-right: 0.44445em; position: relative; top: -0.001125em;">∫</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.56401em;"><span class="" style="top: -1.78805em; margin-left: -0.44445em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">0</span></span></span></span><span class="" style="top: -3.8129em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.91195em;"><span class=""></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mord mathnormal">x</span><span class="mord"><span class="mord mathnormal">e</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 1.03692em;"><span class="" style="top: -3.113em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">−</span><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.891314em;"><span class="" style="top: -2.931em; margin-right: 0.0714286em;"><span class="pstrut" style="height: 2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span><span class="mord mathnormal">d</span><span class="mord mathnormal">x</span></span></span></span></span></span></div></div></div></div></a><a href="https://mathsolver.microsoft.com/fr/solve-problem/%60lim%20_%7Bx%20%60rightarrow-3%7D%20%60frac%7Bx%5E%7B2%7D-9%7D%7Bx%5E%7B2%7D%2B2%20x-3%7D" class="Examples_item__6UVgZ t1"><div class="Examples_type__cCURq t1">Limites</div><div class="hidden"> <!-- -->\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}</div><div class="Examples_mathExpression__APjeA"><div><div class="TouchableOpacity_touchableOpacity__FfYej no-sb"><div aria-label="limit, start subscript, x, right arrow, minus, 3, end subscript, start fraction, x, squared, minus, 9, divided by, x, squared, plus, 2, x, minus, 3, end fraction" role="text" class="MathExpression_mathExpression__vcZ2P "><span><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height: 2.26655em; vertical-align: -0.775439em;"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 0.69444em;"><span class="" style="top: -2.38289em; margin-left: 0em;"><span class="pstrut" style="height: 3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="mrel mtight">→</span><span class="mord mtight">−</span><span class="mord mtight">3</span></span></span></span><span class="" style="top: -3em;"><span class="pstrut" style="height: 3em;"></span><span class=""><span class="mop">lim</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.775439em;"><span class=""></span></span></span></span></span><span class="mspace" style="margin-right: 0.166667em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height: 1.49111em;"><span class="" style="top: -2.314em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.740108em;"><span class="" style="top: -2.989em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">2</span><span class="mord mathnormal">x</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">3</span></span></span><span class="" style="top: -3.23em;"><span class="pstrut" style="height: 3em;"></span><span class="frac-line" style="border-bottom-width: 0.04em;"></span></span><span class="" style="top: -3.677em;"><span class="pstrut" style="height: 3em;"></span><span class="mord"><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height: 0.814108em;"><span class="" style="top: -3.063em; margin-right: 0.05em;"><span class="pstrut" style="height: 2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mbin">−</span><span class="mspace" style="margin-right: 0.222222em;"></span><span class="mord">9</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height: 0.76933em;"><span class=""></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></span></div></div></div></div></a></div><div><button type="button" aria-expanded="false" aria-controls="examples" class="ms-Button ms-Button--default Examples_moreButton__4cYsS root-133" data-is-focusable="true"><span class="ms-Button-flexContainer server-flexContainer-1" 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" 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alt="Langue"></picture><div class="LanguageSelector_language__cItmJ">Français</div><img alt="Langue" class="LanguageSelector_chevron__aHzTx light" 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