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Mathematics
Mathematics
Problem
For real numbers
p
p
p
, determine all values of
p
p
p
for which the series
∑
n
=
1
∞
n
p
n
p
+
n
3
\displaystyle \sum_{n=1}^{\infty} \frac{n^{p}}{n^{p}+n^{3}}
n
=
1
∑
∞
n
p
+
n
3
n
p
converges.
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