# limit of nondecreasing sequence

## Primary tabs

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

### Nondecreasing sequence with upper bound

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

### Re: Nondecreasing sequence with upper bound

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

### Re: Nondecreasing sequence with upper bound

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

### Re: Nondecreasing sequence with upper bound

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

But I like the current title..

Cheers,
Rui