Hey, thanks for the input. I actually think I got the solution on my own however, but I'm not sure if there are some shortcuts I can take in my proof (it ended up taking 2 pages...)
Here's how it goes...if anyone sees glaring errors please point them out to me, I'd prefer that this be as close...
So I've been trying to figure this problem out for a while now and really am having trouble solving it:
Show that limsup(sn + tn) ≤ limsup(sn) + limsup(tn), for bounded sequences (sn) and (tn)
Thus far I've been able to show that limsup(sn) and limsup(tn) are in fact real numbers...