[" If "f(x)={[x^(a)sin((1)/(x)),x!=0],[0,quad x=0]],[" is continuous but non-differentiable at "x=0," then "]

Show that the function f(x)={x^(m)sin((1)/(x)),x!=00,quad x=0 is continuous but not differentiable at x=0, if @

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

Show that the function f(x)={x sin((1)/(x)) when x!=0;=0, when x=0 is continuous butnot differentiable at x=0

Show that the function f (x) = x ^(p) sin ((1)/(x)) x , ne 0, f (0) =0 is continuous but not differentiable at x=0 if 0 lt p le 1.

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