Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - True-False Quiz - Page 95: 7



Work Step by Step

"Difference Law: The limit of a difference is the difference of the limits" $\lim\limits_{x\to a}[f(x)-g(x)] = \lim\limits_{x \to a}f(x) -\lim\limits_{x \to a}g(x)$ If the individual limits of each function exist. You cannot subtract a limit which does not exist. Thus the statement: $\lim\limits_{x \to 4}[\frac{2x}{x-4}-\frac{8}{x-4}] = \lim\limits_{x \to 4}\frac{2x}{x-4} - \lim\limits_{x \to 4}\frac{8}{x-4}$ Is not true because the individual limits diverge (do not exist)
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.