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Mathematics
Problem
Determine whether the series
∑
n
=
2
∞
3
n
4
+
1
\displaystyle \sum_{n=2}^{\infty} \frac{3}{n^{4}+1}
n
=
2
∑
∞
n
4
+
1
3
converges or diverges. Give a concise justification.
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