Question

Cum calculez:  

[tex] \lim_{x \to \ 1, x<1} \frac{2x}{\sqrt{1-x^4}}

[tex] \lim_{x \to \ -1 , x>-1} \frac{2x}{\sqrt{1-x^4}}

Se face si cu l'hospital?

Answer 1

$\lim\limits_{x \to \ 1, x\ \textless \ 1} \dfrac{2x}{\sqrt{1-x^4}} = \dfrac {2}{0_{+}} =\infty$

$\lim \limits_{x \to \ -1 , x\ \textgreater \ -1} \dfrac{2x}{\sqrt{1-x^4}} = \dfrac{-2}{0_{+}}=-\infty$