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Limit (mathematics)




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In mathematics, a limit is the value that a function or sequence "approaches" or comes close to as the argument or index comes close to some value.[1] Limits are very important in calculus (and mathematical analysis in general). They are used to define continuity, derivatives, and integrals.

The concept of a limit of a sequence can be generalised to the idea of a limit of a topological net. It is closely related to limit and direct limit in category theory.

In formulas, limit is usually abbreviated as lim as in lim(an) = a. If an expression is approaching a limit, it is represented by the right arrow (→) as in ana.

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Notes

  1. Stewart, James (2008). Calculus: Early Transcendentals (6th ed.). Brooks/Cole. ISBN 0-495-01166-5 .

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