upperlimit (pluralupper limits)

1. (mathematical analysis) The upper limit of a sequence ofreal 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 thesupremum of each of these subsequences, then find theinfimum of all of these supremums. This infimum is the upper limit.

• limit superior

• lower limit