# How do you find the limit of f(x) = (x^2 - 1) / ( x + 1) ^2 as x approaches 0?

$\lim f \left(x\right) = - 1$ as $x \to 0$
$f \left(x\right) = \frac{{x}^{2} - 1}{x + 1} ^ 2$
f(x) = ((x+1)(x-1))/((x+1)(x+1)
$f \left(x\right) = \frac{x - 1}{x + 1}$
$S o , \lim f \left(x\right) = \frac{0 - 1}{0 + 1} = - 1$ as $x$ goes to zero.