Noun
the mathematical value toward which a function goes as the independent variable approaches infinity
Source: WordNetA compact uniform space is complete: on a compact space each filter has a cluster point, and if the filter is Cauchy, such a cluster point is a limit point. Source: Internet
It is also a limit point of the set of limit points. Source: Internet
Moreover, every cluster point of a Cauchy filter is a limit point. Source: Internet
Roughly speaking, a function is right-continuous if no jump occurs when the limit point is approached from the right. Source: Internet
The process could then be repeated by dividing the resulting smaller interval into smaller and smaller parts until it closes down on the desired limit point. Source: Internet
Therefore, (x n ) is a Cauchy sequence in E, converging to some limit point a in E, because E is complete. Source: Internet