Calculus, 10th Edition (Anton)

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

Chapter 9 - Infinite Series - 9.3 Infinite Series - Exercises Set 9.3: 19

Answer

True.

Work Step by Step

The harmonic series, or the sum of all values from $n=1$ to $n=\infty$ of $\frac{1}{n}$, diverges, since any sum from 1 to infinity of $\frac{1}{n^p}$ diverges for all values of $p<1$.
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