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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

f(x) is monotonically decreasing on `[0,1]`

C

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

D

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

Text Solution

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The correct Answer is:
C
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