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Mathematics
Problem
Consider the series
∑
n
=
2
∞
(
−
1
)
n
n
(
ln
n
)
p
,
\sum_{n=2}^{\infty}\frac{(-1)^n}{n(\ln n)^p},
n
=
2
∑
∞
n
(
ln
n
)
p
(
−
1
)
n
,
where
p
p
p
is a real parameter. For which values of
p
p
p
is the series conditionally convergent? a)
0
<
p
≤
1
0<p\le 1
0
<
p
≤
1
b)
p
≤
1
p\le 1
p
≤
1
c)
p
>
1
p>1
p
>
1
d)
p
=
1
p=1
p
=
1
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