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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
3
n
3
+
1
\displaystyle \sum_{n=1}^{\infty} \frac{3}{n^{3}+1}
n
=
1
∑
∞
n
3
+
1
3
converges or diverges. Give your answer and a one-sentence justification.
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