taylor's series

noun

1. 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