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Maclaurin series are named after the Scottish mathematician Colin Maclaurin.

The Maclaurin series of a function f(x) up to order n may be found using Series[f, {x, 0, n}]. The nth term of a Maclaurin series of a function f can be computed in the Wolfram Language using SeriesCoefficient[f, {x, 0, n}] and is given by the inverse Z-transform

a_n=Z^(-1)[1/x](n).

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