Answer
Yes.
Work Step by Step
Since, $\sum a_n$ converges when $a_n \to 0$ and $\dfrac{1}{a_n} \to \infty $
Thus, $\sum\dfrac{1}{a_n}$ diverges by the nth term test.
Hence, our answer is Yes.
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 9 - Section 9.2 - Infinite Series - Exercises - Page 498: 86
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
