This is not so much of a homework problem but a practice problem for our final. Any advice or insight on how to approach this problem would be incredibly helpful! (Btw, I don't expect anyone to solve this for me, just want to make that clear! ) Prove that: limit(n→∞) [ (1/n) * k=0Ʃ(n-1) (e^(k*x/n)) ] = (e^x - 1)/x , x > 0 Honestly, I don't even know where to begin this problem. My professor gave us "hints" as to how to solve it. "Interpret the integral as a limit of sums" I need to somehow get to the integral: 1 ∫ e^(tx) dt 0 Thanks!