Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - Chapter Review Exercises - Page 95: 45


The limit does not exist.

Work Step by Step

Since $$\lim _{x \rightarrow \frac{\pi}{2}-} \tan x=\infty$$ and $$\lim _{x \rightarrow \frac{\pi}{2}+} \tan x=-\infty$$ Then $\lim _{x \rightarrow \frac{\pi}{2} } \tan x $ does not exist.
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