Answer
The series diverges.
Work Step by Step
The divergence test tells us that if $\lim\limits_{k \to \infty}a_k\ne0$, such as it is in this case, the series diverges.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - 8.4 The Divergence and Integral Tests - 8.4 Exercises - Page 638: 1
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