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A certain function f (x) has the propert...

A certain function `f (x)` has the property that `f (2x)=alpha f (x)` for all positive real values of x and `f (x) =1- |x-2| ` for `1 le x le 3`
`lim _(xto2) (f(x)) ^(cosec((pix)/(2)))` is :

A

`2/pi`

B

`-2/pi`

C

`e ^(2//pi)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
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