Problem 1 (4 points). This problem will guide you through the steps of using the definition of a limit to verify that lim e* = 1. x-+0 Since e = 1, this also shows that e" is continuous at x = 0. (i) Assuming that & > 0, find an expression in terms of & for a number 61 > 0 such that if x 0, then use the fact that e" is an increasing function to show that if x 0, find an expression in terms of & for a number 62 > 0 such that if -62