Answer
$0$
Work Step by Step
When $\theta\to\infty$, the function $cos\theta$ will oscillate in a range of $[-1,1]$. We have $cos\theta-1$ oscillates in a range of $[-2,0]$. Thus:
$\lim_{\theta\to\infty}\frac{cos\theta-1}{\theta}=0$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 2: Limits and Continuity - Practice Exercises - Page 101: 44
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