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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
(
−
1
)
n
4
n
2
/
3
\displaystyle\sum_{n=1}^{\infty} (-1)^{n}\frac{4}{n^{2/3}}
n
=
1
∑
∞
(
−
1
)
n
n
2/3
4
is absolutely convergent, conditionally convergent, or divergent. State your conclusion.
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