Determine $\lim _ { x \rightarrow 6 } \frac { | x - 6 | } { x ^ { 2 } - 36 }$

Multiple Choice

Determine $\lim _ { x \rightarrow 6 } \frac { | x - 6 | } { x ^ { 2 } - 36 }$ (if it exists) by evaluating the corresponding one-sided limits.

A) 6
B) 0
C) limit does not exist
D) $- \frac { 1 } { 12 }$
E) $\frac { 1 } { 12 }$