Calculus (3rd Edition)

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

Chapter 11 - Infinite Series - 11.3 Convergence of Series with Positive Terms - Preliminary Questions - Page 555: 3


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Work Step by Step

Since $$\sum_{n=1}^{\infty} n^{-3.2}=\sum_{n=1}^{\infty} \frac{1}{n^{3.2}}$$ then this is a p-series which converges only if $p\gt 1$. So it converges because $p=3.2\gt 1$. We could also use the integral test to test for convergence.
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