Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.3 - The Integral Test and Estimates of Sums - 11.3 Exercises - Page 726: 19

Answer

Diverges

Work Step by Step

$\Sigma$$\frac{n^{3}}{n^{4} +4}$$ \approx$$\Sigma$$\frac{n^{3}}{n^{4}}$$\approx$$\Sigma$$\frac{1}{n^{1}}$, p $\leq$1 therefore it diverges by rules of the p-series
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.