Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 11 - Section 11.5 - Alternating Series - 11.5 Exercises - Page 773: 22

Answer

The series is absolute convergent

Work Step by Step

First take the absolute value of the series, this becomes: $\Sigma$ $\frac{1}{n^4}$ Now using the p-series test, conclude that this series is convergent since p = 4 >1. Since the absolute value of the original series is convergent, thus the original series in the question is absolute convergent
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