University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.4 - One-Sided Limits - Exercises - Page 85: 37



Work Step by Step

$$\lim_{\theta\to0}\theta\cos\theta=0\times\cos0=0\times1=0$$ In this exercise, we only need to replace $\theta=0$ into the function to find its limit as $\theta\to0$, because unlike the other ones, there is no version of $A/0$ or $A\times(\infty)$ as we replace $\theta=0$.
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