## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 2 - Limits - 2.6 Trigonometric Limits - Exercises - Page 77: 26

#### Answer

$0$

#### Work Step by Step

\begin{align*} \lim _{t\rightarrow 0} \frac{\cos t-\cos^2t}{t } &=\lim _{t\rightarrow 0} \frac{(1-\cos t)\cos t}{t } \\ &=\lim _{t\rightarrow 0} \frac{1-\cos t}{t } \lim _{t\rightarrow 0} \cos t \\ &=0. \end{align*} Where we used the fact that $\lim _{t\rightarrow 0} \frac{1-\cos t}{t } =0.$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.