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Mathematics
Problem
Does the series
∑
n
=
1
∞
(
−
1
)
n
n
n
2
+
3
\displaystyle \sum_{n=1}^{\infty}(-1)^{n}\frac{n}{n^{2}+3}
n
=
1
∑
∞
(
−
1
)
n
n
2
+
3
n
converge absolutely, converge conditionally, or diverge? State your conclusion and justify it briefly.
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