Question

Evaluate the limit $\underset{x-3}{lim}(\frac{-4|x+3|}{-3(x+3)}).$

Select the correct answer below:

$-\frac{4}{3}$

$0$

$\frac{4}{3}$

$\frac{8}{3}$

The limit does not exist.

Question

Evaluate the limit$.$

$\underset{x18}{lim}\frac{x-18}{\sqrt[\phantom{2}]{x+15}-\sqrt[\phantom{2}]{33}}$

Select the correct answer below:

$-\frac{\sqrt[\phantom{2}]{33}}{33}$

$-2\sqrt[\phantom{2}]{33}$

$\frac{\sqrt[\phantom{2}]{33}}{33}$

$2\sqrt[\phantom{2}]{33}$