What does limit inferior and limit superior mean?
Definitions for limit inferior and limit superior
lim·it in·fe·ri·or and lim·it su·pe·ri·or
This dictionary definitions page includes all the possible meanings, example usage and translations of the word limit inferior and limit superior.
Wikipedia
Limit inferior and limit superior
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
Numerology
Chaldean Numerology
The numerical value of limit inferior and limit superior in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of limit inferior and limit superior in Pythagorean Numerology is: 9
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"limit inferior and limit superior." Definitions.net. STANDS4 LLC, 2025. Web. 15 Jan. 2025. <https://www.definitions.net/definition/limit+inferior+and+limit+superior>.
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