#### Answer

$\lim\limits_{x \to 2} \frac{(2x + 5)}{(11 - x^{3})} = 3$

#### Work Step by Step

$\lim\limits_{x \to 2} \frac{(2x + 5)}{(11 - x^{3})} = \frac{\lim\limits_{x \to 2}(2x + 5)}{\lim\limits_{x \to 2}(11-x^{3})}$
= $\frac{2(2) + 5}{11 - 2^{3}}$
= $\frac{9}{3}$ = 3