University Calculus: Early Transcendentals (3rd Edition)

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

Chapter 2 - Practice Exercises - Page 111: 53



Work Step by Step

$$A=\lim_{x\to-\infty}\tan^{-1}x$$ $y=\tan^{-1}x$ or $y=\arctan x$ is the inverse function of the tangent function. And as $x\to-\infty$, $\tan^{-1}x$ approaches $-\pi/2$. $$A=-\frac{\pi}{2}$$ A graph of the function $y=\tan^{-1}x$ has been included below for better visualization.
Small 1537229909
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.