Question

lim x-4 / (raiz de x) - 2 com x tendendo a 4

Answer 1

$\lim_{x \to 4} \frac{x-4}{\sqrt{x}-2}}\\\\ \lim_{x \to 4} \frac{(\sqrt{x}-2)(\sqrt{x}+2)}{\sqrt{x}-2}}\\\\ \lim_{x \to 4} \sqrt{x}+2\\\\ \lim_{x \to 4}= \sqrt{4}+2\\\\ \lim_{x \to 4} =2+2\\\\ \boxed{\therefore \lim_{x \to 4} =4}$