So I've been trying to figure this problem out for a while now and really am having trouble solving it:(adsbygoogle = window.adsbygoogle || []).push({});

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. Everything in the back of my head screams triangle inequality just looking at the problem, and I'm assuming I need to use the epsilon definition of limits to get that to work, but I'm really stuck getting that far.

Thanks for any help you guys have to offer.

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# Lim sup problem

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