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: 38



Work Step by Step

$$A=\lim_{\theta\to0}\sin\theta\cot2\theta$$ $$A=\lim_{\theta\to0}\Big(\sin\theta\times\frac{\cos2\theta}{\sin2\theta}\Big)$$ $$A=\lim_{\theta\to0}\frac{\sin\theta\cos2\theta}{2\sin\theta\cos\theta}$$ $$A=\lim_{\theta\to0}\frac{\cos2\theta}{2\cos\theta}$$ $$A=\frac{\cos0}{2\cos0}$$ $$A=\frac{1}{2\times1}=\frac{1}{2}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.