Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.3 Exercises: 66

Answer

$\lim\limits_{\theta\to0}\dfrac{\cos{\theta}\tan{\theta}}{\theta}=1.$

Work Step by Step

Using Theorem $1.9:$ $\lim\limits_{\theta\to0}\dfrac{\cos{\theta}\tan{\theta}}{\theta}=\lim\limits_{\theta\to0}\dfrac{\cos{\theta}(\dfrac{\sin{\theta}}{\cos{\theta}})}{\theta}=\lim\limits_{\theta\to0}\dfrac{\sin{\theta}}{\theta}=1.$
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