Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises - Page 94: 37


$\lim\limits_{x \to (\frac{\pi}{2})^+}\frac{1}{x}\sec x=-\infty$

Work Step by Step

$\lim\limits_{x \to (\frac{\pi}{2})^+}\frac{1}{x}\sec x=\frac{1}{(\frac{\pi}{2})^+} \sec(\frac{\pi}{2})^+=(\frac{2}{\pi}) \times-\infty=-\infty$
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