Find the limit.
-$$\lim _ { x \rightarrow 3 ^ { - } } \frac { 1 } { x ^ { 2 } - 9 }$$
A) $\infty$
B) 0
C) $- 1$
D) $- \infty$

Name: Find the limit. -\[\lim _ { x \rightarrow 3 ^ { - } } \frac { 1 } { x ^ { 2 } - 9 }\] A) $\infty$ B) 0 C) $- 1$ D) $- \infty$
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Question

Quizplus · Accepted Answer

As $x$ approaches 3 from the left, the denominator $x^2 - 9$ approaches 0 from the negative side, making the fraction $\frac{1}{x^2 - 9}$ positive and its absolute value increases without bound, hence the limit is $\infty$.

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Find the Limit $\lim _ { x \rightarrow 3 ^ { - } } \frac { 1 } { x ^ { 2 } - 9 }$