1. The problem statement, all variables and given/known data For all real numbers, f is a function satisfying |f(x)|<=|x|. Show that f is continuous at 0 2. Relevant equations 3. 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 see if lim x>0+f(x) = lim x>0-f(x) = f(0) ? And I tried doing this: -|x|<=f(x)<=|x| lim x>0+|x|=0 lim x>0- -|x|=0 f(0)=|0|=0 So they're all equal to 0. I don't know if this is right though...help?