If `g(x)=(2h(x)+|h(x)|)/(2h(x)-|h(x)|)` where `h(x)=sinx-sin^n x ,n in R^+,` the set of positive real numbers, and `f(x)={[g(x)],x(0,pi/2)uu(pi/2,pi) and 3,x=pi/2` where [.] denotes greatest integer function. Then (a)`f(x)` is continuous and differentiable at `x=pi/2,` when `0ltnlt1` (b)`f(x)` is continuous and differentiable at `x=pi/2,` when `ngt1` (c)`f(x)` is discontinuous and non differentiable at `x=pi/2,for0ltnlt1` (d)`f(x)` is continuous but not differentiable at `x=pi/2,` when `ngt1`