## Calculus 8th Edition

$\lim\limits_{x \to -4}\frac{\sqrt {x^2+9}-5}{x+4}=\lim\limits_{x \to -4}\frac{\sqrt {x^2+9}-5}{x+4}*\frac{\sqrt {x^2+9}+5}{\sqrt {x^2+9}+5}=\lim\limits_{x \to -4}\frac{x^2+9-5}{(x+4)\sqrt {x^2+9}+5}=\lim\limits_{x \to -4}\frac{x^2+4}{(x+4)(\sqrt {x^2+9}+5)}=\frac{(-4)^2+4}{((-4)+4)(\sqrt {(-4)^2+9}+5)}=\frac{20}{0}=$ does not exist