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limit of nondecreasing sequence

Keywords: 
nondecreasing, bounded from above, nonincreasing, bounded from below
Synonym: 
nondecreasing sequence with upper bound, limit of increasing sequence
Type of Math Object: 
Theorem
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

40-00 no label found

Comments

I did not find this important theorem in PM, and therefore I wrote this entry. It were good if this entry had alternative titles -- for that one could more easily find it. Can someone propose alternative titles?
Jussi

Why not just call it limit of nondecreasing sequence? I realize that leaves out the "upper bound" part, but it includes the most important things that people will likely search for.

Roger

Thanks, Roger, you may be right. I change the title.
Jussi

In Portuguese everybody calls it: "bounded monotonic sequences are convergent".

But I like the current title..

Cheers,
Rui

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