## Problem Statement

Calculate the limit of the function:

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

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

## Problem Kuznetsov Limits 10-9