taylor's series

World English Dictionary
Taylor's series
 
n
maths See also Maclaurin's series 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) + <[i>f′(a)(z -- a)]/1! + <[i>f″(a)(z -- a)²]/2! + …
 
[C18: named after Brook Taylor (1685--1731), English mathematician]

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