Determine $\lim _ { x \rightarrow 10 } \frac { | x - 10 | } { x ^ { 2 } - 100 }$

Multiple Choice

Determine $\lim _ { x \rightarrow 10 } \frac { | x - 10 | } { x ^ { 2 } - 100 }$ (if it exists) by evaluating the corresponding one-sided limits.

A) $\frac { 1 } { 20 }$
B) $- \frac { 1 } { 20 }$
C) 0
D) 10
E) limit does not exist