# Taylor's series

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Related to Taylor's series: Maclaurin series

## Taylor's series

*n*

(Mathematics)

*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[C18: named after Brook

*Taylor*(1685–1731), English mathematician]Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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