wu :: forums - Print Page


    
      
        wu :: forums
        (http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi)
      

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

Title: question about sup and limit?
Post by comehome1981 on Feb 20^th, 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 20^th, 2009, 9:58am

Try f_n(x) = x/n.