Let `f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):}` then `f(x)` is continuous but not differentiable at `x=0` if

Let f(x)={{:(,x^(n)"sin "(1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0. If

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If

Let f(x)={:{(x^nsin.(1)/x,","xne0),(0,","x=0):} , then f(x) is continuous but not differentiable at x = 0, if

Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} is continuous but not differentiable at x= 0.