Question

Calcule o limite abaixo.
$\lim_{x \to \01}\frac{x^{2} - 6x + 5}{x^{2} - 1}$

Answer 1

Resposta:

$\lim_{x \to 1} \frac{x^2-6x+5}{x^2-1} =\frac{(x-1).(x-5)}{(x+1).(x-1)} =\frac{x-5}{x+1} = \frac{1-5}{1+1} = \frac{-4}{2} = -2$

Portanto:

$\lim_{x \to 1} \frac{x^2-6x+5}{x^2-1} = -2$