Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.4 Derivatives of Trigonometric Functions - 2.4 Exercises - Page 151: 42



Work Step by Step

We can use L'hopital's rule, which says that the value of the limit is maintained. $$\lim\limits_{\theta \to 0} \frac{cos(\theta)-1}{sin(\theta)}=\lim\limits_{\theta \to 0} \frac{-sin(\theta)}{cos(\theta)}= -tan(0) = 0$$
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