1. The problem statement, all variables and given/known data Evaluate the following limit lim x->0 f(x) = 2, x rational, -2, x irrational 2. Relevant equations 3. The attempt at a solution I tried to draw the graph of this question but couldn't. Do you think I have a function that oscillates between 2 and -2 violently? My best guess is that the limit doesn't exist but I want to have better explanation than mine.