Hello, I'm having trouble with this question. Let Sn be a sequence that converges. Show that if Sn <= b for all but finitely many n, then lim sn <= b. This is what I'm trying to do, assume s = lim Sn and s > b. (Proof by contradiction) abs(Sn-s) < E, E > 0. Don't know what to do from there, but maybe set E = s -b. E is epsilon by the way. Probably to start using latex... If any one could help, that would be awesome.