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Mathematics
Mathematics
Problem
Determine all real values of
p
p
p
for which the series
∑
n
=
2
∞
(
−
1
)
n
(
ln
n
)
−
p
\displaystyle\sum_{n=2}^{\infty}(-1)^{n}(\ln n)^{-p}
n
=
2
∑
∞
(
−
1
)
n
(
ln
n
)
−
p
converges.
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