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 $p<1$.
Calculus, 10th Edition (Anton)
by Anton, Howard
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 - Page 622: 19
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