MACLAURIN'S SERIES

[Mac.lau.rin's series] n [Colin Maclaurin d. 1746 Scot. mathematician] (ca. 1909): a Taylor's series that gives the expansion of the function f(x) in the neighborhood of zero subject to the constraints holding for a Taylor's series and that consists of a first term equal to f(0) with the (n + 1)st term consisting of the derivative of nth order of the function evaluated at zero multiplied by x raised to the exponent n and divided by n!--called also Maclaurin series