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