Answer
Diverges by n-th term test
Work Step by Step
$\Sigma^{\infty} _{n+1} (-1)^n \frac{5n-1}{4n+1}$
Apply n-th term test
$\lim\limits_{n \to \infty} \frac{5n-1}{4n+1} = \frac{5}{4} \ne 0 $
Limit diverges by n-th term test
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 9 - Infinite Series - 9.5 Exercises - Page 625: 9
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