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limit of sequence

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  • Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… …   Wikipedia

  • 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 …   Wikipedia

  • 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… …   Wikipedia

  • 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 …   Wikipedia

  • Limit of a function — x 1 0.841471 0.1 0.998334 0.01 0.999983 Although the function (sin x)/x is not defined at zero, as x becomes closer and closer to zero, (sin x)/x becomes arbitrarily close to 1. It is said that the limit of (sin x)/x as x approache …   Wikipedia

  • Sequence — For other uses, see Sequence (disambiguation). In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length …   Wikipedia

  • 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 …   Wikipedia

  • Séquence principale — Le diagramme de Hertzsprung Russell figure les étoiles. En abscisse, l indice de couleur (B V) ; en ordonnée, la magnitude absolue. La séquence principale se voit comme une bande diagonale marquée allant du haut à gauche au bas à droite. Ce… …   Wikipédia en Français

  • limit — 1. verb /ˈlɪmɪt/ a) To restrict; not to allow to go beyond a certain bound. We need to limit the power of the executive. b) To have a limit in a particular set. Im limiting myself to two drinks tonight. Syn: cap, restrict …   Wiktionary

  • limit — I. noun Etymology: Middle English, from Anglo French limite, from Latin limit , limes boundary Date: 14th century 1. a. something that bounds, restrains, or confines b. the utmost extent 2. a. a geographic or political boundary b. plural the… …   New Collegiate Dictionary

  • limit — /ˈlɪmət / (say limuht) noun 1. the final or furthest bound or point as to extent, amount, continuance, procedure, etc.: the limit of vision. 2. a boundary or bound, as of a country, tract, district, etc. 3. Obsolete an area or region within… …  

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