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Mathematics
Problem
For what real values of
p
p
p
does the series
∑
n
=
2
∞
n
2
+
1
n
p
+
n
\displaystyle \sum_{n=2}^{\infty} \frac{n^{2}+1}{n^{p}+n}
n
=
2
∑
∞
n
p
+
n
n
2
+
1
converge? State the interval of all such
p
p
p
.
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