Answer
$\frac{6}{5}$
Work Step by Step
$\lim\limits_{x \to -3}\frac{x^{2}-9}{x^{2}+x -6} = \lim\limits_{x \to -3}\frac{(x-3)(x+3)}{(x+3)(x-2)}= \lim\limits_{x \to -3} \frac{x-3}{x-2} =\frac{6}{5}$
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