# Limit

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**Limit (category theory)**— In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint… …102

**Limit (mathematics)**— This is an overview of the idea of a limit in mathematics. For specific uses of a limit, see limit of a sequence and limit of a function. In mathematics, the concept of a limit is used to describe the value that a function or sequence approaches… …103

**Limit point**— In mathematics, a limit point (or accumulation point) of a set S in a topological space X is a point x in X that can be approximated by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point …104

**Limit of a sequence**— n n sin(1/n) 1 0.841471 2 0.958851 ... 10 0.998334 ... 100 0.999983 As the positive integer n becomes larger and larger …105

**Limit-Order**— Orderzusätze oder Handelsoptionen sind Bezeichnungen, die eine Wertpapierorder genauer bezeichnen und bestimmte Bedingungen stellen, unter denen diese Order ausgeführt werden soll. Es gibt generell die Unterscheidung zwischen unlimitierten und… …106

**Limit (music)**— In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term was introduced by Harry Partch, who used it to give an upper… …107

**Limit set**— In mathematics, especially in the study of dynamical systems, a limit set is the state a dynamical system reaches after an infinite amount of time has passed, by either going forward or backwards in time. Limit sets are important because they can …108

**Limit cardinal**— In mathematics, limit cardinals are a type of cardinal number.With the cardinal successor operation defined, we can define a limit cardinal in analogy to that for limit ordinals: λ is a (weak) limit cardinal if and only if λ is neither a… …109

**limit order**— An order in which the customer sets a limit on the price and/or time of execution. Chicago Board of Trade glossary An order to buy a stock at or below a specified price, or to sell a stock at or above a specified price. For instance, you could… …110

**Limit ordinal**— A limit ordinal is an ordinal number which is neither zero nor a successor ordinal. Various equivalent ways to express this are: *It cannot be reached via the ordinal successor operation S ; in precise terms, we say lambda; is a limit ordinal if… …