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Mathematics
Mathematics
Problem
For which values of
p
p
p
does the series
∑
n
=
1
∞
(
−
1
)
n
−
1
n
−
p
\sum_{n=1}^{\infty}(-1)^{n-1}n^{-p}
n
=
1
∑
∞
(
−
1
)
n
−
1
n
−
p
converge conditionally? a)
0
<
p
<
1
0<p<1
0
<
p
<
1
b)
p
>
1
p>1
p
>
1
c)
0
<
p
≤
1
0<p\le 1
0
<
p
≤
1
d)
p
≤
0
p\le 0
p
≤
0
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