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