This article is about the mathematical method of asymptotic analysis. For information about asymptotic geometry, see
asymptotic curve. In
pure mathematics and applications, particularly the
analysis of algorithms, real analysis, and engineering, asymptotic analysis is a method of describing
limiting behaviour. Similar limiting behaviour is sometimes expressed in the language of
equivalence relations. Moreover, asymptotic analysis refers to solving problems approximately up to such equivalences. For example, given complex-valued functions f and g of a natural number variable n, one writes
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