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Mathematics
Mathematics
Problem
For which values of
p
p
p
does the series
∑
n
=
2
∞
(
−
1
)
n
−
1
n
p
\displaystyle \sum_{n=2}^{\infty} \dfrac{(-1)^{n-1}}{n^{p}}
n
=
2
∑
∞
n
p
(
−
1
)
n
−
1
converge absolutely? a)
p
≥
1
p\ge 1
p
≥
1
b)
p
>
0
p>0
p
>
0
c)
p
>
1
p>1
p
>
1
d)
0
<
p
≤
1
0<p\le 1
0
<
p
≤
1
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