Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 11 - Infinite Sequences and Series - 11.1 Sequences - 11.1 Exercises - Page 745: 57

Answer

Divergent

Work Step by Step

The $\frac{n}{n+1}$ component converges to $1$, so this is just evaluating $(-1)^n$. However, since that oscillates between -1 and 1 without converging, the whole thing is divergent.
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