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If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and...

If `f(x)=cot^(-1) ((3x-x^3)/(1-3x^2))` and `g(x)=cos^(-1)((1-x^2)/(1+x^2))`, then `lim_(x->a) (f(x)-f(a))/(g(x)-g(a))`, `0ltalt1/2` is

A

`(3)/(2 (1+a^(2)))`

B

`3/2`

C

`(-3)/(2 (1+a^(2)))`

D

`-3/2`

Text Solution

Verified by Experts

The correct Answer is:
D
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