Calculus 8th Edition

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

Chapter 1 - Functions and Limits - Review - Exercises: 33


$\dfrac {4}{7}$

Work Step by Step

$\lim _{u\rightarrow 1}\dfrac {u^{4}-1}{u^{3}+5u^{2}-6u}=\dfrac {\left( u^{2}-1\right) \left( u^{2}+1\right) }{u\left( u^{2}+5u-6\right) }=\dfrac {\left( u-1\right) \left( u+1\right) \left( u^{2}+1\right) }{u\left( u-1\right) \left( u+6\right) }=\dfrac {\left( u+1\right) \left( u^{2}+1\right) }{u\left( u+6\right) }=\dfrac {4}{7}$
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.