Determine Whether or Not the Following Limit Exists $\lim _ { x \rightarrow 3 }$

Multiple Choice

Determine whether or not the following limit exists. If, so compute the limit. $\lim _ { x \rightarrow 3 }$ $\frac { \sqrt { x } - 4 } { x ^ { 3 } + 27 }$

A) does not exist
B) 0
C) $\frac { \sqrt { 3 } - 4 } { 54 }$
D) $\sqrt { 3 }$ - 4
E) none of these