inner limit
inner limit
English Definitions:
inner limit
In mathematics, the limit inferior and limit superior of a sequence can be thought of as limiting (that is, eventual and extreme) bounds on the sequence. They can be thought of in a similar fashion for a function (see limit of a function). For a set, they are the infimum and supremum of the set's limit points, respectively. In general, when there are multiple objects around which a sequence, function, or set accumulates, the inferior and superior limits extract the smallest and largest of them; the type of object and the measure of size is context-dependent, but the notion of extreme limits is invariant. Limit inferior is also called infimum limit, limit infimum, liminf, inferior limit, lower limit, or inner limit; limit superior is also known as supremum limit, limit supremum, limsup, superior limit, upper limit, or outer limit. The limit inferior of a sequence ( x n ) {\displaystyle (x_{n})} is denoted by and the limit superior of a sequence ( x n ) {\displaystyle (x_{n})} is denoted by
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"inner limit." Kamus.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.kamus.net/english/inner+limit>.
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