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Mathematics
Problem
For which real numbers
p
p
p
does the series
∑
n
=
2
∞
1
n
(
ln
n
)
p
\displaystyle\sum_{n=2}^{\infty}\frac{1}{n\,(\ln n)^{p}}
n
=
2
∑
∞
n
(
ln
n
)
p
1
converge? State the set of all such
p
p
p
values.
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