Answer
$-\infty $
Work Step by Step
\begin{align*}
\lim _{x \rightarrow-\infty} \frac{x^{2}-7 x}{x+1}&=\lim _{x \rightarrow-\infty} \frac{x-7}{1+\frac{1}{x}}\\
&=-\infty
\end{align*}
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