Question

Limite de RAIZ de X - 2 sobre 4 - X, quando X tende a 4.

Answer 1

$\lim_{n \to 4} \frac{ \sqrt{x} -2}{4-x}. \frac{ \sqrt{x} +2}{ \sqrt{x} +2}=> \lim_{n \to 4} \frac{ ( \sqrt{x} )^{2}-4 }{(4-x)( \sqrt{x} +2)}$

$\lim_{n \to 4} \frac{(x-4)}{(4-x)( \sqrt{x} +2)}=> \lim_{n \to 4} \frac{-1}{ \sqrt{x} +2}=> \lim_{n \to 4}- \frac{1}{ \sqrt{4}+2 }=- \frac{1}{2+2}=- \frac{1}{4}$