1. The problem statement, all variables and given/known data if |x-3| < ε/7 and 0 < x ≤ 7 prove that |x^2 - 9| < ε 2. Relevant equations 3. The attempt at a solution So ths is what I did so far. |x+3|*|x-3| < ε (factored out the |x^2 - 9|) |x+3|*|x-3| < |x+3|* ε/7 < ε (used the fact that |x-3| < ε/7) |x+3|* ε/7 *7 < ε*7|x-3| < ε/7*7 (multiplied both sides of the inequality by 7) I suck at epsilon delta proofs and have no idea where to go from here.