Answer
Series Diverges
Work Step by Step
Rewrite Summation $\Sigma^{\infty} _{n=1} (-1)^{n+1} \frac{n^2}{n^2+4} $
apply n-th term test
i.) $ \lim\limits_{n \to \infty} \frac{n^2}{n^2+4} $$ = 1 \ne 0 $
Series Diverges by the 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: 14
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