Answer
$\infty $
Work Step by Step
\begin{align*}
\lim _{x \rightarrow \infty} \frac{x^{4}+x^{3}}{12 x^{3}+128}&=\lim _{x \rightarrow-\infty} \frac{x+1}{12+\frac{128}{x^{3}}}\\
&=\infty
\end{align*}
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