= Limit Point = A '''limit point''' (or accumulation point) of a [[Analysis/Sets|set]] is a point that can be approximated by members of a set. <> ---- == Description == In the [[Analysis/TopologicalSpace#Alternate_Formulation|topological sense]], a point ''x'' is a limit point for a set ''A'' if every neighborhood of ''x'' contains a member of set ''A'' that is different from ''x''. In other words, it isn't sufficient for a set to contain a point; the set must be able to approximate that point without referencing the point itself. Compare to the concept of '''adherent points''', which do allow self-referencing. All limit points are adherent points, but not all adherent points are limit points. ---- CategoryRicottone