Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
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: $A\in \text{Seq}(X)$ | | ||
- | | @#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 ==== |