Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 9 - Infinite Series - 9.4 Convergence Tests - Exercises Set 9.4: 23

Answer

converges

Work Step by Step

Factoring out the constant 7 leaves $$7 \Sigma_{k=5}^{\infty} \frac{1}{k^{1.01}}$$ This is a p-series with p=1.01. $p$ is greater than 1, therefore, the series converges.
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