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If f(x) + f(y) = f((x+y)/(1-xy)) for all...

If `f(x) + f(y) = f((x+y)/(1-xy))` for all `x, y in R (xy ne 1) and lim_(x rarr 0) (f(x))/(x) = 2`, then

A

`f((1)/(sqrt(3)))=(pi)/(3)`

B

`f((1)/(sqrt(3))) =-(pi)/(3)`

C

`f'(1) = 1`

D

`f'(1) = -1`

Text Solution

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The correct Answer is:
A, C
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