University Calculus: Early Transcendentals (3rd Edition)

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

Chapter 9 - Section 9.4 - Comparison Tests - Exercises - Page 510: 59



Work Step by Step

The nth-term test for divergence states that if $\lim\limits_{n \to \infty} a_n\ne 0$, then $\Sigma _{n=1}^\infty a_n$ diverges. We are given that $\lim\limits_{n \to \infty} a_n=\infty$, so the sum diverges by the n-term test.
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