Talk:Uniform boundedness

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This article is nice as far as it goes. It would be even better if there were examples of

1. A family which fails to have the property (e.g., fn(x) = x^(1/n)for x in (0.1, 1.0)

2. A family which has the property (e.g, sin(nx)).

Also, there should be words (or a link to) why this is a useful property. --anon

I put it on my to do list, which means I will get to it, but don't know when. If you would like to help, go ahead. :) Oleg Alexandrov (talk) 23:40, 2 December 2005 (UTC)

Sorry but i can't see why (1.) fails to have the property. |fn(x)| <= 1 forall n and for all x in (0.1,1.0). Didn't you mean an example for a family that isn't uniformly convergent instead of uniformly bounded? --SmH 19:59, 10 May 2006 (UTC)