Question

O limite de  x - 6/x₂ - 4x - 12 , o x tendendo a 6

Answer 1

Muito simples!
$\lim\limits_{x \to 6} \frac{x-6}{x^2-4x-12}$
Fatorando x²-4x-12:
$\lim\limits_{x \to6} \frac{x-6}{(x+2)(x-6)}$
$\lim\limits_{x \to 6} \frac{1}{x+2} = \frac{1}{6+2} = \frac{1}{8}$