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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
(
−
1
)
n
n
3
\displaystyle \sum_{n=1}^{\infty}\frac{(-1)^n}{n^{3}}
n
=
1
∑
∞
n
3
(
−
1
)
n
is (i) absolutely convergent, (ii) conditionally convergent, or (iii) divergent. State your conclusion.
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