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Mathematics
Problem
Consider the series
∑
n
=
2
∞
1
n
(
ln
n
)
2
\displaystyle\sum_{n=2}^{\infty} \frac{1}{n(\ln n)^{2}}
n
=
2
∑
∞
n
(
ln
n
)
2
1
. Identify a standard convergence test that is most suitable for establishing its behavior, and give a one-sentence justification for why that test applies.
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