Ascertain the value of the limit (if it exists): \(\lim \sum\limits_{k = 0}^{2n} {2^{\frac{{ - nk}}{{n + k}}} } \) I will place this at college freshman since I was unable to solve it. I can probably solve it backwards if I use Mathematica to figure out what the limit is but I refuse to do that Please Register or Log in to view the hidden image!
As in Sequence 3, my intuition tells me the limit is 2. I've thought about it a bit and I think I have a rigorous proof, but I haven't written it down yet to make 100% sure.
