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-

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)), 0 ltalt 1/2 is :

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)), 0 lt 1/2 is :

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 rarr a)(f(x)-f(a))/(g(x)-g(a))

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))

f(x)=cot^(-1)((2x)/(1-x^(2))), g(x)=cos^(-1)((1-x^(2))/(1+x^(2))) then lim_(x to a)(f(x)-f(a))/(g(x)-g(a)), a in (0, (1)/(2))

If f (x) = Tan ^(-1)((3x-x ^(3))/(1-3x ^(2)),g (x) =Cos^(-1) ((1-x ^(2))/(1 + x ^(2))and 0 lt alpha lt 1/2, then lim _(x to alpha ) (f (x) -f (a))/(g (x)-g (a))