limit

Also known as mathematical limit, lim, limiting value

value that a function (or sequence) approaches as the argument (or index) approaches some value

AI overview

A limit is a value that a function or sequence gets closer and closer to as you change its input (or position in the sequence) toward some target point. Limits matter because they help us understand the behavior of mathematical functions and sequences, especially in situations where we can't simply plug in a number directly.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Image: Límite 01.svg

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Stack Exchange tag: math.stackexchange.com/tags/limits
TeX string: \lim
Commons category: Limit (mathematics)

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Article

In mathematics, a limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. Limits of functions are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals. The concept of a limit of a sequence is further generalized to the concept of a limit of a topological net, and is closely related to limit and direct limit in category theory. The limit inferior and limit superior provide generalizations of the concept of a limit which are particularly relevant when the limit at a point may not exist.

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