Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 66: 15


The product of two continuous functions is continuous.

Work Step by Step

We are given the function $ f(x)=2^x\cos 3x $. By Theorem 2 and 3, $2^x $ and $\cos 3x $ are continuous functions. Using the basic laws of continuity, the product of two continuous functions is continuous; that is $$ f(x)=2^x\cos 3x $$ is continuous.
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.