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Mathematics
Problem
For
a
n
=
ln
n
n
2
a_n=\dfrac{\ln n}{n^{2}}
a
n
=
n
2
ln
n
with
n
≥
2
n\ge 2
n
≥
2
, explain briefly why an improper integral of the related function may be used to study the convergence of
∑
n
=
2
∞
a
n
\sum_{n=2}^{\infty} a_n
∑
n
=
2
∞
a
n
.
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