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set_limes_superior [2014/10/25 19:12]
nikolaj
set_limes_superior [2014/10/25 19:13]
nikolaj
Line 2: Line 2:
 ==== Set ==== ==== Set ====
 | @#55CCEE: context ​    | @#55CCEE: $A\in \text{Seq}(X)$ | | @#55CCEE: context ​    | @#55CCEE: $A\in \text{Seq}(X)$ |
-| @#55EE55postulate ​  | @#55EE55: $\underset{n\to\infty}{\limsup}A_n$ | +| @#FF9944definition  ​| @#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 ====
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