Potter Craig
03/12/2023 · Elementary School
27. Donner, s'il y a lieu, une interprétation graphique pour la courbe \( C_{f} \) des limites suivantes. \( \begin{array}{ll}\text { 1. } \lim _{x \rightarrow+\infty} f(x)=-3 & \text { 2. } \lim _{x \rightarrow-1} f(x)=+\infty \\ \text { 3. } \lim _{x \rightarrow-\infty} f(x)=+\infty & \text { 4. } \lim _{x \rightarrow 2} f(x)=-\infty\end{array} \)
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Pour interpréter graphiquement la courbe \( C_{f} \), considérez les limites données :
1. \( x \rightarrow +\infty \) : \( f(x) \rightarrow -3 \), courbe stable autour de \( y = -3 \).
2. \( x \rightarrow -1 \) : \( f(x) \rightarrow +\infty \), asymptote verticale à \( x = -1 \).
3. \( x \rightarrow -\infty \) : \( f(x) \rightarrow +\infty \), courbe monte vers le haut pour des valeurs négatives de \( x \).
4. \( x \rightarrow 2 \) : \( f(x) \rightarrow -\infty \), asymptote verticale à \( x = 2 \). La courbe monte vers \( +\infty \) et descend vers \( -\infty \) autour de \( x = 2 \).
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