Hello,(adsbygoogle = window.adsbygoogle || []).push({});

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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Limits question

**Physics Forums | Science Articles, Homework Help, Discussion**