I understand most of the logic behind the formal definition of a limit, but I don't understand the the logic behind an epsilon delta proof. The parts I'm having trouble with are these: 1. How does proving that, the distance between the function and the limit is less than epsilon whenever the distance between x and a certain x value less than delta? 2. How does reducing the epsilon side absolute value equation to mirror the delta side absolute value equation give us delta? (As inarticulate as that sounds, I can't word it any other way) Thank you for your help!