Statement-1: If |f(x)| le |x| for all x...

Statement-1: If `|f(x)| le |x|` for all `x in R` then `|f(x)|` is continuous at 0. Statement-2: If `f(x)` is continuous then `|f(x)|` is also continuous.

Similar Questions

Explore conceptually related problems

Statement-1: If |f(x)|<=|x| for all x in R then |f(x)| is continuous at 0. Statement-2: If f(x) is continuous then |f(x)| is also continuous.

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

f(x)=x+|x| is continuous for

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

Leg f(x+y)=f(x)+f(y) for all x,y in R, If f(x) is continuous at x=0, show that f(x) is continuous at all x.

The contrapositive of statement: If f(x) is continuous at x=a then f(x) is differentiable at x=a

Let f(x+y)=f(x)+f(y) for all x and y If the function f(x) is continuous at x=0 show that f(x) is continuous for all x