f(x)=cos^(-1)(1+3x+2x^(2))

If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) and phi(x)=cos^(-1)((1-x^(2))/(1+x^(2))) , then the value of lim_(x to a) (f(x)-f(a))/(phi(x)-phi(a))(0 lt a lt (1)/(2)) is -

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))

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 _(xtoa) (f(x) -f(a))/(g (x) -g(a)) is equal to-

f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))