lower limit

English

Noun

lower limit (plural lower limits)

1. (mathematical analysis) The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the "first subsequence." Then remove the first term of the first subsequence in order to obtain the "second subsequence." Repeat the removal of first terms in order to obtain a "third subsequence," "fourth subsequence," etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit.

Synonyms

• limit inferior

Antonyms

• upper limit

Translations

the lower limit of a sequence of real numbers

• Finnish: alaraja-arvo, alaraja
• Polish: dolna granica f