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Mathematics
Problem
Determine all real numbers
q
q
q
such that the series
∑
n
=
2
∞
1
n
(
ln
n
)
q
\displaystyle \sum_{n=2}^{\infty} \frac{1}{n\,(\ln n)^{q}}
n
=
2
∑
∞
n
(
ln
n
)
q
1
converges.
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