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Mathematics
Mathematics
Problem
Let
p
=
1
2
p=\dfrac12
p
=
2
1
. State whether the series
∑
n
=
1
∞
(
−
1
)
n
n
−
p
\displaystyle\sum_{n=1}^{\infty}(-1)^{n}n^{-p}
n
=
1
∑
∞
(
−
1
)
n
n
−
p
converges or diverges.
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