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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
4
n
3
+
1
5
n
4
−
3
\displaystyle\sum_{n=1}^{\infty}\frac{4n^{3}+1}{5n^{4}-3}
n
=
1
∑
∞
5
n
4
−
3
4
n
3
+
1
converges or diverges.
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