Answer
$-5$
Work Step by Step
$\lim _{x\rightarrow -1}\left( x^{2}-4+\sqrt [3] {x^{2}-9}\right) =\left( -1\right) ^{2}-4+\sqrt [3] {\left( -1\right) ^{2}-9}=-3+\sqrt [3] {-8}=-3+\left( -2\right) =-5$
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