" 1.Prove that "f(x)=|x" is continues at "x=0

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

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

Prove that f(x)=x^(n), is continuous at x=0

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

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

Prove that f(x)=sin x is continuous at x=(pi)/(2)

If f((x + 2y)/3)=(f(x) + 2f(y))/3 AA x, y in R and f(x) is continuous at x = 0. Prove that f(x) is continuous for all x in R.

Show that f(x)=|x| is continuous at x=0 but not deferentiable at x=0 .

If f(x)=x^(2)+1, when x!=1 and f(x)=3 when x=1, prove that f(x) is not continuous at x=1.

Prove that f(x)= 2x-|x| is a continuous function at x= 0.