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Mathematics
Problem
Determine whether the series
∑
n
=
3
∞
(
−
1
)
n
+
1
ln
n
n
\displaystyle\sum_{n=3}^{\infty}(-1)^{n+1}\frac{\ln n}{n}
n
=
3
∑
∞
(
−
1
)
n
+
1
n
ln
n
converges. State your conclusion.
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