Answer
divergence
Work Step by Step
We know that $\lim\limits_{n \to \infty}n \gt ln (n)$. Thus, the terms of the sequence are getting bigger and bigger, and thus diverging.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 9 - Infinite Series - Review Exercises - Page 676: 16
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