Find the Limit $\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 6 } - \sqrt { 6 } } { x }$

Multiple Choice

Find the limit $\lim _ { x \rightarrow 0 } \frac { \sqrt { x + 6 } - \sqrt { 6 } } { x }$ , if it exists.
Select the correct answer.

A) Does not exist
B) $\frac { \sqrt { 6 } } { 12 }$
C) $\frac { \sqrt { 6 } } { 2 }$
D) $\frac { \sqrt { 6 } } { 6 }$