1. The problem statement, all variables and given/known data Prove: "lim f(x) as x-->a is equal to lim f(a+h) as h-->0 (this is really just an exercise in understanding what the terms are)" 2. Relevant equations 3. The attempt at a solution Now the easiest way would just to pop in the values and boom, lim f(a) = lim f(a). But I think he is looking for a different reasoning. My attempt was to kind of define the statements like so: _______ LHS: f can be made to be as close to a limit L as desired by making x sufficiently close to a. RHS: f can be made to be as close to a limit L as desired by making h sufficiently close to zero. And in this example, it just so happens when h is made to go to zero we are left with the respective equations L's equal to each other. ______ I don't think I've really "proved" anything though, have I? Thanks!