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The interval of monotonicity of the func...

The interval of monotonicity of the function `f(x)=(x)/(log_(e)x),` is

A

a) increases when `x in(e,oo)` and decreases when `x in(0,e)`

B

b) increases when `x in (e,oo)` and decreases when `x in (0,e)-{1}`

C

c) increases when `x in (0,e)` and decreases when `x in (e,oo)`

D

d) increases when `x in (0,e)-{1}` and decreases when `x in (e,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
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