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Mathematics
Problem
Decide whether the series
∑
n
=
1
∞
(
−
1
)
n
−
1
3
n
n
2
+
4
\displaystyle\sum_{n=1}^{\infty} (-1)^{\,n-1}\frac{3n}{n^{2}+4}
n
=
1
∑
∞
(
−
1
)
n
−
1
n
2
+
4
3
n
converges absolutely, converges conditionally, or diverges. Provide the correct classification.
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