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Taylor series

noun, Mathematics
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 0 , by a power series in which the terms are given by f (n) (x 0) (x−x 0) n/n !, where f (n) (x 0) is the derivative of order n evaluated at point x 0 .
Compare Maclaurin series.
1905-10; after Brook Taylor Unabridged
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