Answer
Diverges
Work Step by Step
We have: $\lim\limits_{k \to \infty} \tanh k=\tanh (\infty)\\=1 \ne 0$
This implies that the given series diverges by the divergence test.
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 - Review Exercises - Page 659: 41
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