[Solved] Infinite Series 1. The problem statement, all variables and given/known data Find the sum of the given series, or show that the series diverges. _∞ ∑_(k=0) (2^(k+3))/(℮^(k-3)) I hope this is not confusing, and it would be great if someone knows about some site where you can write equations easily online. 2. Relevant equations I don't know any which can help me here. 3. The attempt at a solution I just see what happens when k = 0, 1, 2, 3..... inf and see what happens. But to find the sum I'm totally lost. Could somebody get me started here?