# Taylor's series

- 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

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## Word Origin

C18: named after Brook Taylor (1685–1731), English mathematician

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