1. The problem statement, all variables and given/known data Prove that f(x) = x^2 is continuous at x = 2 using the ε - ∂ definition of continuity. 2. The attempt at a solution Using the definition of continuity, I've reached thus far in the question: |x - 2||x + 2| < ε whenever |x - 2| < ∂ 3. Relevant equations I have no clue how to move forward from here. I know while solving this type of questions, we try to solve the first inequality so that ∂ can be written in terms of ε, but I can't seem to figure out what to do with |x + 2|.