1. The problem statement, all variables and given/known data Prove that: lim n->inf1/n*Ʃn-1k=0ekx/n = (ex-1)/x x>0 2. Relevant equations That was all the information provided. Any progress i have made is below. I didn't want to add any of that to this section because this is all speculation on my part so far. 3. The attempt at a solution I've been at this for awhile now, i feel as though i am getting close. I think i have all the "pieces" but i cant seem to put them together to prove the above statement. I know that the integral 0∫1etxdt is important because it integrates to (ex-1)/x but i'm not sure how to connect the summation to the integral to the answer I also have a feeling that the Theorem is relevant. But i'm not positive. Any help would be extremely appreciated!