Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Review Exercises: 72


Vertical asymptotes at every integer value of $x.$

Work Step by Step

A function has vertical asymptotes at values that make only the denominator $0$. $f(x)=\csc{\pi x}=\dfrac{1}{\sin{\pi x}}\to \sin{\pi x}=0 \to \pi x=\pi k\to x=k$ where $k$ is any integer.
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.