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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 underset(x rarr 0)(lim) (f(x))/(x) = 2`, then

A

`2 tan^(-1)x`

B

`(1)/(2) tan^(-1)x`

C

`(pi)/(2) tan^(-1)x`

D

`2 pi tan^(-1) x`

Text Solution

Verified by Experts

The correct Answer is:
A
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