Answer
Convergent
Work Step by Step
$\lim\limits_{j \to \infty}\frac{\sqrt j}{j+5}=\lim\limits_{j \to \infty} \frac{\sqrt j}{j}$
$=\lim\limits_{j \to \infty} \frac{\sqrt 1}{\sqrt j}$
$=0$
The series is convergent the Alternating Series Test.
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 11 - Section 11.7 - Strategy for Testing Series - 11.7 Exercises - Page 781: 40
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