Let `f(x)=cot^-1g(x)]` where g(x) is an increasing function on the interval `(0,pi)` Then f(x) is

Let f(x)=tan^(-1)(g(x)) , where g(x) is monotonically increasing for 0

Let f(X) = tan^-1 g(x) , where g (x) is monotonically increasing for 0

Let f(x) = tan^-1 (g(x)) , where g (x) is monotonically increasing for 0 < x < pi/2.

Let f(x)=tan^(-1)(g(x)), where g(x) is monotonically increasing for 0

Function f(x)=x+ cot ^(-1) x increasing in the interval

The function f(x) =Cot^(-1)x+x increasing in the interval

The function f(x)=cos((pi)/(x)),(x!=0) is increasing in the interval

Let f(x)=g(x)(e^(1//x) -e^(-1//x))/(e^(1//x) + e^(-1//x)) , where g is a continuous function then lim_(x to 0) f(x) exist if