Show that `f(x) =x^(2)` is continuous at x=2 lt

Show that f(x)=|x| is continuous at x=0

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

f(x)={(x^(2)-x-6)/(x-3); if x!=35ifx=3 show that f(x) is continuous at x=3

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

If f(x) f(x) ={((x^2-9)/(x-3)","" " xne3),(" 6""," " "x = 3"):} then show that f(x) is continuous at x=3.

If f(x)={(x^2)/2 , if 0lt=xlt=1 2x^2-3x+3/2 , if 1

The fuction f(x) is defined as follows: f(x) ={(2x-3,x lt 2),(x-1, x ge 2):} Prove that f(x) is continuous x at =2.

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.

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