Answer
$$7$$
Work Step by Step
\begin{align*}
\lim _{x \rightarrow 2}\left(5 x-12 x^{-2}\right)&= 5(2)-12 (2)^{-2}\\
&=10-\frac{12}{4}\\
&=10-3\\
&=7.
\end{align*}
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