1. The problem statement, all variables and given/known data Give an example or show why it is impossible A function f: R→R satisfying lim h->0[f(x+h-f(x-h)] = 0, and limit at 0 dne 2. Relevant equations n/a 3. The attempt at a solution Been trying different piecewise defined functions, with none of them working. I do not really know where to go. I can sit here for hours trying different functions, but i decided to see if anyone on here could help me out.