Question

poderiam me ajudar no exercicio de limites
LIM X>-4 RAIZ X²+9-5 /
X+4

Answer 1

$\lim_{x \to \ -4 } \frac{ \sqrt{x^2+9}-5 }{x+4}\\\\ \lim_{x \to \ -4 } \frac{ (\sqrt{x^2+9}-5)(\sqrt{x^2+9}+5) }{(x+4)(\sqrt{x^2+9}+5)}\\\\ \lim_{x \to \ -4 } \frac{x-4}{\sqrt{x^2+9}+5}\\\\ \lim_{x \to \ -4 } \frac{-4-4}{\sqrt{(-4)^2+9}+5}\\\\ \lim_{x \to \ -4 } \frac{-8}{\sqrt{25}+5}\\\\ \lim_{x \to \ -4 } \frac{-8}{10}\\\\ \lim_{x \to \ -4 } \frac{-4}{5}\\\\ Espero\ que\ tenha\ entendido!$