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Mathematics
Mathematics
Problem
Determine, with justification, whether the series
∑
n
=
1
∞
n
1
/
2
n
3
/
2
+
1
\displaystyle \sum_{n=1}^{\infty} \frac{n^{1/2}}{n^{3/2}+1}
n
=
1
∑
∞
n
3/2
+
1
n
1/2
converges or diverges.
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