Show that the function `f(x)={|2x-3|[x]xlt=0` and `sin((pix)/2)`,`x>0` is continuous but not differentiable at `x=1`

Show that f(x)={{:(|2x-3|[x]", "xge1),(sin((pix)/2)", "xlt1):} is continuous but not differentiable at x = 1.

Show that f(x) = {:{(|2x-3|[x],xge1),(sin((pix)/(2)), x <1):} is continuous but not differentiable at x =1.

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.

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^(m)sin((1)/(x)),x!=00,quad x=0 is continuous but not differentiable at x=0, if @

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.

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

Show that the function f(x)=2x-|x| is continuous at x=0

Show that the function f(x)=|x-2| is continuous but not differentiable at x=2.