Answer
Convergent: $(-1,1]$
Divergent: $r\in (-\infty,-1]\cup(1,\infty)$
Work Step by Step
Using Theorem 8.3, we find that the series $\{r_n\}$:
- converges for $r\in (-1,1]$
- diverges for $r\in(-\infty,-1]\cup(1,\infty)$.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - 8.2 Sequences - 8.2 Exercises - Page 616: 5
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