noun Mathematics. an approximation of a given function
f at a particular point
x, in terms of values of the function and its derivatives at a neighboring point
x _{0} , by a power series in
which the terms are given by
f ^{(n)} (
x _{0} ) (
x−x _{0} )
^{n}/n !, where
f ^{(n)} (
x _{0} ) is the derivative of order
n evaluated at point
x _{0} .
Origin:
1905–10; after Brook Taylor