# Differences

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 set_limes_superior [2014/10/25 19:12]nikolaj set_limes_superior [2014/10/25 19:13] (current)nikolaj Both sides previous revision Previous revision 2014/10/25 19:13 nikolaj 2014/10/25 19:12 nikolaj 2014/10/25 19:06 nikolaj 2014/03/21 11:11 external edit2013/08/04 20:16 nikolaj 2013/08/04 20:14 nikolaj 2013/06/22 17:19 nikolaj created 2014/10/25 19:13 nikolaj 2014/10/25 19:12 nikolaj 2014/10/25 19:06 nikolaj 2014/03/21 11:11 external edit2013/08/04 20:16 nikolaj 2013/08/04 20:14 nikolaj 2013/06/22 17:19 nikolaj created Line 2: Line 2: ==== Set ==== ==== Set ==== | @#55CCEE: context ​    | @#55CCEE: $A\in \text{Seq}(X)$ | | @#55CCEE: context ​    | @#55CCEE: $A\in \text{Seq}(X)$ | - | @#55EE55: postulate ​  | @#55EE55: $\underset{n\to\infty}{\limsup}A_n$ | + | @#FF9944: definition  ​| @#FF9944: $\underset{n\to\infty}{\limsup}A_n\equiv{\bigcup_{n=1}^\infty}\left({\bigcap_{k=n}^\infty}A_k\right)$ | - | @#55EE55: postulate ​  | @#55EE55: ${\bigcup_{n=1}^\infty}\left({\bigcap_{k=n}^\infty}A_k\right)$ | + ==== Ramifications ==== ==== Ramifications ====