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Let f:(0,oo) in R be given f(x)=overse...

Let `f:(0,oo) in R` be given
`f(x)=overset(x)underset(1//x)int e^(t+(1)/(t))(1)/(t)dt`, then

A

f(x) is monotonically increasing on `[1,oo)`

B

is monotonically decreasing on [0, 1)

C

`f(x)+f(1/x)=0, AA x in (0,oo)`

D

`f(2^(x))` is an odd function of x on R

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The correct Answer is:
C, D
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