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

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

Show that f(x) = |x-5| is continuous but not differentiable at x = 5 .

show that f(x) =|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 f(x)=|x-3| is continuous but not differentiable at x=3.

Show that f(x)=|x-3| is continuous but not differentiable at x=3 .

Show that the function f(x)={|2x-3|[x]x 0 is continuous but not differentiable at x=1

Show that the function f(x)=|x-3|,x in|R, is continuous but not differentiable at x=3

Show that the function f(x) =x^2 is continuous and differentiable at x=2.

Let f(x) ={{:( ( 2x-1) "," ,"when" , x ge 1),( x",", "when", 0 le x le 1):} Show that f(x) is continuous but not differentiable at x =1