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Let f : (0,infty) rarr R be given by f...

Let f : `(0,infty) rarr R` be given by
`f(x) = int_(1/x)^(x) e^-(t + 1/t) dt/t`
then

A

f(x) is monotonically increasing on `(1 , infty)`

B

f(x) is monotonically decreasing on (1,0)

C

f(x) + f(1/x) = 0, for all `x in (0, infty)`

D

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

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The correct Answer is:
A, C, D
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