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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
(
−
1
)
n
−
1
n
\displaystyle\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{\sqrt{n}}
n
=
1
∑
∞
n
(
−
1
)
n
−
1
is absolutely convergent, conditionally convergent, or divergent. Provide the classification.
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