## Problem Statement

Calculate the limit of the function:

$\lim _{x \rightarrow-1} \frac{x^{3}-3 x-2}{\left(x^{2}-x-2\right)^{2}}$
## Solution

$\lim _{x \rightarrow-1} \frac{x^{3}-3 x-2}{\left(x^{2}-x-2\right)^{2}}=\left\{\frac{0}{0}\right\}=\lim _{x \rightarrow-1} \frac{(x+1)\left(x^{2}-x-2\right)}{(x+1)(x-2)\left(x^{2}-x-2\right)}=$

$=\lim _{x \rightarrow-1} \frac{1}{x-2}=\frac{1}{-1-2}=-\frac{1}{3}$

## Problem Kuznetsov Limits 10-19