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: 25

Answer

Convergent

Work Step by Step

$\Sigma_{n=1}^{\infty} \frac{1}{n^{3}+n^{2}}\lt \Sigma_{n=1}^{\infty} \frac{1}{n^{2}}$ $\frac{1}{n^{2}}$ is a p-series with $p =2 >1$ Hence, the given series is convergent.
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