ex EXERCICE 1 Calculer les limites suivantes $$ \lim _{x \rightarrow+\infty}\left(2+\frac{1}{x}\right) ; $$ $$ \lim _{x \rightarrow-\infty}\left(x^{3}-\frac{1}{x^{2}}\right) $$ $$ \lim _{x \rightarrow-\infty}\left(x^{3}-\frac{1}{x^{2}}\right) $$ $$ \lim _{x \rightarrow-2}\left(x^{3}+8\right) ; $$ $$ \lim _{x \rightarrow-\infty}\left(x^{3}+x\right) ; $$ $$ \lim _{x \rightarrow+\infty}\left(x^{3}+x-2\right) $$ $$ \lim _{x \rightarrow-\infty}\left(x^{3}+x^{2}\right) $$ $$ \lim _{x \rightarrow-1}(x+2) $$

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Carrillo Lawson · Accepted Answer

**Exercice 1 : Calcul des limites** 1. $$ \lim _{x \rightarrow +\infty} \left(2 + \frac{1}{x}\right) = 2 $$ 2. $$ \lim _{x \rightarrow -\infty} \left(x^{3} - \frac{1}{x^{2}}\right) = -\infty $$ 3. $$ \lim _{x \rightarrow -2} \left(x^{3} + 8\right) = 0 $$ 4. $$ \lim _{x \rightarrow -\infty} \left(x^{3} + x\right) = -\infty $$ 5. $$ \lim _{x \rightarrow +\infty} \left(x^{3} + x - 2\right) = +\infty $$ 6. $$ \lim _{x \rightarrow -\infty} \left(x^{3} + x^{2}\right) = -\infty $$ 7. $$ \lim _{x \rightarrow -1} (x + 2) = 1 $$

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