Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 11 - Infinite Series - 11.4 Absolute and Conditional Convergence - Preliminary Questions - Page 562: 3



Work Step by Step

No, the student is wrong. The alternating series has the form $\sum_{n=1}^{\infty}(-1)^{n-1} b_{n}$, where $b_n$ is decreasing and $\lim_{n\to \infty}$, and $\sqrt n$ does not satisfy any of these properties.
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