Taylor's series

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Taylor's series

(Mathematics) Maths an infinite sum giving the value of a function f(z) in the neighbourhood of a point a in terms of the derivatives of the function evaluated at a. Under certain conditions, the series has the form f(z) = f(a) + [f′(a)(z - a)]/1! + [f″(a)(z - a)²]/2! + … See also Maclaurin's series

[named after Brook Taylor (1685-1731), English mathematician]

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