Answer
Divergent
Work Step by Step
We need to apply The Integral Test.
Thus, $\int_{1}{n} \dfrac{5}{x+1}dx=5 \ln (n+1)-5 \ln 2$
or, $\int_{1}{\infty} \dfrac{5}{x+1}dx=\infty$
Thus, the series is divergent
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 9.3 - The Integral Test - Exercises - Page 504: 14
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