limit inferior(redirected from Limit superior and limit inferior)
Also found in: Dictionary, Thesaurus, Legal, Wikipedia.
limit inferior[′lim·ət in¦fir·ē·ər]
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.