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

A certain function f(x) has the property that `f(3x)=alpha f(x)` for all positive real values of x and `f(x)=1-|x-2|` for `1<=x<=3`, `lim_(x->2)(f(x))^(cosec((pi x)/2))` is

A

`2/pi`

B

`-2/pi`

C

`e ^(2//pi)`

D

none of these

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The correct Answer is:
D
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