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set_limes_inferior [2014/03/21 11:11] 127.0.0.1 external edit |
set_limes_inferior [2014/10/25 19:13] nikolaj |
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| ==== Set ==== | ==== Set ==== | ||
| | @#55CCEE: context | @#55CCEE: $A\in \text{Seq}(X)$ | | | @#55CCEE: context | @#55CCEE: $A\in \text{Seq}(X)$ | | ||
| - | + | | @#FF9944: definition | @#FF9944: $\underset{n\to\infty}{\liminf}A_n\equiv{\bigcap_{n=1}^\infty}\left({\bigcup_{k=n}^\infty}A_n\right)$ | | |
| - | | @#55EE55: postulate | @#55EE55: $\underset{n\to\infty}{\liminf}A_n$ | | + | |
| - | + | ||
| - | | @#55EE55: postulate | @#55EE55: ${\bigcap_{n=1}^\infty}\left({\bigcup_{k=n}^\infty}A_n\right)$ | | + | |
| ==== Ramifications ==== | ==== Ramifications ==== | ||
