limit inferior

limit inferior

[′lim·ət in¦fir·ē·ər] (mathematics) Also known as lower limit. The limit inferior of a sequence whose n th term is an is the limit as N approaches infinity of the greatest lower bound of the terms an for which n is greater than N ; denoted by The limit inferior of a function ƒ at a point c is the limit as ε approaches zero of the greatest lower bound of ƒ(x) for | x-c | < ε="" and="">x ≠ c ;denoted by For a sequence of sets, the set consisting of all elements that belong to all but a finite number of the sets in the sequence. Also known as restricted limit.