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Mathematics
Mathematics
Problem
For what values of
p
p
p
will both series
∑
n
=
1
∞
1
n
2
p
\sum_{n=1}^{\infty} \frac{1}{n^{2p}}
∑
n
=
1
∞
n
2
p
1
and
∑
n
=
1
∞
(
p
2
)
n
\sum_{n=1}^{\infty} \left(\frac{p}{2}\right)^n
∑
n
=
1
∞
(
2
p
)
n
converge?
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