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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))`

A

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

B

`3/2`

C

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

D

`-3/2`

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