Definition of Maclaurin's series
: a Taylor series that gives the expansion of the function f(x) in the neighborhood of zero subject to the constraints holding for a Taylor 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!
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Origin and Etymology of maclaurin's series
after Colin Maclaurin †1746 Scottish mathematician
First Known Use: 1881
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