limit superior

[′lim·ət sə′pir·ē·ər] (mathematics) Also known as upper limit. The limit superior of a sequence whose n th term is a_nis the limit as N approaches infinity of the least upper bound of the terms a_nfor which n is greater than N ; denoted by The limit superior of a function ƒ at a point c is the limit as ε approaches zero of the least upper 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 infinitely many of the sets in the sequence. Also known as complete limit.

单词	limit superior
释义	limit superior limit superior [′lim·ət sə′pir·ē·ər] (mathematics) Also known as upper limit. The limit superior of a sequence whose n th term is a_nis the limit as N approaches infinity of the least upper bound of the terms a_nfor which n is greater than N ; denoted by The limit superior of a function ƒ at a point c is the limit as ε approaches zero of the least upper 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 infinitely many of the sets in the sequence. Also known as complete limit.
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