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Mathematics
Problem
Consider the series
∑
n
=
2
∞
(
−
1
)
n
+
1
1
n
1
/
2
(
1
+
ln
n
)
\displaystyle\sum_{n=2}^{\infty}(-1)^{n+1}\frac{1}{n^{1/2}(1+\ln n)}
n
=
2
∑
∞
(
−
1
)
n
+
1
n
1/2
(
1
+
ln
n
)
1
. Indicate whether the series is absolutely convergent, conditionally convergent, or divergent.
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