Question

Determine o limite indicado, caso exista.

Answer 1

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