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Mathematics
Mathematics
Problem
For the series
∑
n
=
3
∞
(
−
1
)
n
n
−
p
ln
n
\displaystyle\sum_{n=3}^{\infty}(-1)^{n}\dfrac{n^{-p}}{\ln n}
n
=
3
∑
∞
(
−
1
)
n
ln
n
n
−
p
, find all real
p
p
p
for which the series converges.
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