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`f(x)+f(y)=f((x+y)/(1-x y))` for all`x ,y in Rdot` `(x y!=1)`,and `lim_(xto0)(f(x))/x=2`.Find `f(1/(sqrt(3)))a n df^(prime)(1)dot`

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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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. For every pair of continuous function f, g : [0, 1] rarr R such that m...

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  4. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is a. differ...

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  5. Q. For every integer n, leta(n) and b(n) be real numbers. Let functio...

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