asymptotic series

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A series formed by the expansion of a function in the form a0 + a1/x + a2/x2 + … + an/xn + …, such that the error resulting from terminating the series at the term an/xn tends to zero more rapidly than 1/xn as x tends to infinity. An asymptotic series expansion is not necessarily a convergent series. Asymptotic series are used very extensively in the physical sciences.

Subjects: Physics.

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