Find $\lim _ { x \rightarrow 13 ^ { - } } \frac { x - 13 } { x ^ { 2 } - 169 }$.
A) $\frac { 1 } { 26 }$
B) $\frac { 1 } { 13 }$
C) $\frac { 13 } { 2 }$
D) $\frac { 2 } { 13 }$
E) limit does not exist

Question

Quizplus · Accepted Answer

\begin{align*}
\lim_{x	o13^-} \frac{x-13}{x^2-169} &= \lim_{x	o13^-} \frac{x-13}{(x-13)(x+13)}\
&= \lim_{x	o13^-} \frac{1}{x+13}\
&= \frac{1}{26}.
\end{align*}

Find lim⁡x→13−x−13x2−169\lim _ { x \rightarrow 13 ^ { - } } \frac { x - 13 } { x ^ { 2 } - 169 }limx→13−​x2−169x−13​

Find $\lim _ { x \rightarrow 13 ^ { - } } \frac { x - 13 } { x ^ { 2 } - 169 }$