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Mathematics
Mathematics
Problem
For
p
>
0
p>0
p
>
0
, consider the series
∑
n
=
2
∞
(
−
1
)
n
n
(
ln
n
)
p
\displaystyle \sum_{n=2}^{\infty} \frac{(-1)^{n}}{n(\ln n)^{p}}
n
=
2
∑
∞
n
(
ln
n
)
p
(
−
1
)
n
. Find all values of
p
p
p
for which the series is conditionally convergent.
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