wu :: forums « wu :: forums - question about sup and limit? » Welcome, Guest. Please Login or Register. Apr 15th, 2024, 8:43pm RIDDLES SITE WRITE MATH! Home Help Search Members Login Register
 wu :: forums    general    complex analysis (Moderators: Eigenray, Icarus, Grimbal, SMQ, towr, william wu, ThudnBlunder)    question about sup and limit? « Previous topic | Next topic »
 Pages: 1 Reply Notify of replies Send Topic Print
comehome1981
Newbie

Posts: 20
 question about sup and limit?   « on: Feb 20th, 2009, 8:31am » Quote Modify

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)
 IP Logged
Eigenray
wu::riddles Moderator
Uberpuzzler

Gender:
Posts: 1948
 Re: question about sup and limit?   « Reply #1 on: Feb 20th, 2009, 9:58am » Quote Modify

Try fn(x) = x/n.
 IP Logged
 Pages: 1 Reply Notify of replies Send Topic Print

 Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth => complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »