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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
1
x
ln
x
f(x)=\dfrac{1}{\sqrt{x}\,\ln x}
f
(
x
)
=
x
ln
x
1
for
x
>
1
x>1
x
>
1
. Determine the least positive integer
N
N
N
such that
f
(
x
)
f(x)
f
(
x
)
is decreasing on
[
N
,
∞
)
[N,\infty)
[
N
,
∞
)
.
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