University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 9 - Section 9.3 - The Integral Test - Exercises - Page 504: 46



Work Step by Step

The answer is NO. Consider: $\Sigma_{n=1}^\infty a_n$ is a convergent series of positive numbers. Then, we have $2\Sigma_{n=1}^\infty a_n= \Sigma_{n=1}^\infty 2a_n$ also converges and $2a_n \geq a_n$ Thus, there will be no largest convergent series of positive numbers. Hence, the answer is NO.
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