That's what I tried to do here.
The definition of a function being continuous at 0 is that lim x>0 f(x) = f(0)
So I tried to show the limit exists if the left and right hand limits are equal. And that this limit also equals f(0).
I guess what I'm more confused about then, is the function...
Homework Statement
For all real numbers, f is a function satisfying |f(x)|<=|x|. Show that f is continuous at 0
Homework Equations
The Attempt at a Solution
Really stuck on this cause I'm confused with the absolute values on this function.
I *think* to show this you have to...