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Mathematics
Problem
Classify the series
∑
n
=
2
∞
(
−
1
)
n
2
n
3
+
1
5
n
4
−
4
\displaystyle\sum_{n=2}^{\infty}(-1)^{n}\frac{2n^{3}+1}{5n^{4}-4}
n
=
2
∑
∞
(
−
1
)
n
5
n
4
−
4
2
n
3
+
1
as absolutely convergent, conditionally convergent, or divergent.
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