Answer
$$-\infty$$
Work Step by Step
Given $$\lim\limits_{x \to -\infty} (x^2+x^3) $$
Then
\begin{align*}
\lim_{x \to -\infty} (x^2+x^3) &=\lim_{x \to -\infty} x^2(1+x ) \\
&=\lim_{x \to -\infty} x^2\lim_{x \to -\infty}(1+x ) \\
&=(\infty)(1-\infty)\\
&=-\infty
\end{align*}