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Meaning of Taylor series

Tay'lor se"ries

Pronunciation: [key]
— Math. Math.
  1. an approximation of a given function f at a particular point x, in terms of values of the function and its derivatives at a neighboring point x, by a power series in which the terms are given by f(x) (x−x)/n!, where f(x) is the derivative of order n evaluated at point x. Cf.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.