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

If `f(x) =cot ^(-1) ((3x -x^(3))/(1-3x^(2))) and g (x) =cos ^(-1) ((1- x ^(2))/(1+x^(2)))` then `lim _(xtoa) (f(x) -f(a))/(g (x) -g(a))` is equal to-

A

`-3/2`

B

`3/2`

C

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

D

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

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A

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