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The function f(x)=x/(xlogx) increase on ...

The function `f(x)=x/(xlogx)` increase on the interval

A

`(1,oo)`

B

(0,e)

C

`(e,oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly , f(x) is defined for all xgt0
Now
`f(x) =xlogxrArrf'(x)=(logx-1)/(logx)^2`
`therefore f(x)gt0rArrlogx-1gt0rArrlogxgt1rArrxgt1rArrxgterArrx in(e,oo).`
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