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general >> complex analysis >> question about sup and limit?
(Message started by: comehome1981 on Feb 20th, 2009, 8:31am)

Title: question about sup and limit?
Post by comehome1981 on Feb 20th, 2009, 8:31am
Thanks for helping me solve the following question!!

We have
               fn(x) -> f(x) pointwise

Can we conclude

lim_n sup_{x} fn(x) = sup_{x} lim_n fn(x) = sup_{x} f(x)

Title: Re: question about sup and limit?
Post by Eigenray on Feb 20th, 2009, 9:58am
Try fn(x) = x/n.



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