Question

Dado o limite indeterminado:



Resolva e assinale a alternativa que traz a solução desse limite indeterminado.

A)
-130

B)
11

C)
-12

D)
12

E)
110

Answer 1

$\displaystyle \sf \lim _{x\to -6}\left(\frac{-x^2+36}{x+6} \right ) \\\\\\ \lim _{x\to -6}\left(\frac{36-x^2}{6+x} \right ) \\\\\\ \lim _{x\to -6}\left(\frac{(6-x)(6+x)}{6+x} \right ) \\\\\\ \lim _{x\to -6}(6-x) \to 6-(-6) \to 6+6 = 12 \\\\ Portanto : \\\\ \boxed{\sf \lim _{x\to -6}\left(\frac{-x^2+36}{x+6} \right ) =12 }\checkmark$

letra D