1. The problem statement, all variables and given/known data use delta, epsilon to prove that e^x is continuous at c = 0 2. Relevant equations (a) for y>0, lim_n-> inf, y^(1/n) = 1 (b) for x < y, exp(x) < exp(y) 3. The attempt at a solution im not sure how to approach this problem. i have, |exp(x) - exp(0)|= |exp(x) - 1| so then exp(x) < 1 + ε for δ > 0, exp(δ) < 1 + ε so then, i would set δ=ln(1+ε) for the proof? also im not sure how to use relevant eqn (a) to help with the problem. some insight would be appreciated. thank you.