Find the limit (if it exists). $\lim x \tan \pi x$
$x \rightarrow \frac { 1 } { 2 }$
A) $- \infty$
B) $\frac { 1 } { 2 }$
C) 0
D) $\infty$
E) Limit does not exist

Name: Find the limit (if it exists). $\lim x \tan \pi x$ $x \rightarrow \frac { 1 } { 2 }$ A) $- \infty$ B) $\frac { 1 } { 2 }$ C) 0 D) $\infty$ E) Limit does not exist
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Question

Quizplus · Accepted Answer

As $x$ approaches $\frac{1}{2}$, $\tan(\pi x)$ approaches infinity because $\tan(\pi x)$ has a vertical asymptote at $x = \frac{1}{2}$. Therefore, the limit does not exist.

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