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Mathematics
Mathematics
Problem
For
n
≥
2
n\ge 2
n
≥
2
, let
a
n
=
ln
n
n
a_n=\dfrac{\ln n}{n}
a
n
=
n
ln
n
. Explain briefly why the sequence of magnitudes
∣
a
n
∣
|a_n|
∣
a
n
∣
is eventually decreasing as
n
n
n
increases.
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