Okay, in my Calc class, we're going through infinite series right now, with respect to convergence and divergence. Well, one problem we had was the one badly formatted below (sorry). Σ(2^k)(k!)/(k^k) Now, we determined that this series converged, and that if the two had been a three, it would've diverged. My question is, if the two had been e instead, would the series converge or diverge, and how would one go about determining this? The question was raised in class with the ever so helpful answer of "we can't determine that with the methods that we have gone over thus far." Any help would be appreciated.