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 $r\in(-\infty,-1]\cup(1,\infty)$.
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