limit point

limit point
noun Date: 1905 a point that is related to a set of points in such a way that every neighborhood of the point no matter how small contains another point belonging to the set — called also point of accumulation

New Collegiate Dictionary. 2001.

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  • 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

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  • 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

  • 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… …   Wikipedia

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