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The function f(x)=(ln(pi+x))/(ln(e+x)) i...

The function `f(x)=(ln(pi+x))/(ln(e+x))` is
a)increasing in `(0,oo)` b)decreasing in `(0,oo)`
c)Decreasing on `[0,pi/e)` and increasing on `[pi/e,infty)` d)Increasing on `[0,pi/e)` and decreasing on `[pi/e,infty)`

A

Increasing on `[0,infty)`

B

Decreasing on `[0,infty)`

C

Decreasing on `[0,pi/e)` and increasing on `[pi/e,infty)`

D

Increasing on `[0,pi/e)` and decreasing on `[pi/e,infty)`

Text Solution

Verified by Experts

The correct Answer is:
B
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