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If f(x)=tan^(-1)\ (3x-x^3)/(1-3x^2), g(x...

If `f(x)=tan^(-1)\ (3x-x^3)/(1-3x^2), g(x) = cos^(-1)\ (1-x^2)/(1+x^2) and 0 < a < 1/2,` then `lim_(x->a)\ (f(x)-f(a))/(g(x)-g(a))=` (i)`-2/3` (ii)`-3/2` (iii)`3/2` (iv)`2/3`

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