Taylor series

noun Tay·lor series \ˈtā-lər-\

Definition of TAYLOR SERIES

:  a power series that gives the expansion of a function f (x) in the neighborhood of a point a provided that in the neighborhood the function is continuous, all its derivatives exist, and the series converges to the function in which case it has the form where f[n](a) is the derivative of nth order of f(x) evaluated at a —called also Taylor's series


Brook Taylor †1731 English mathematician
First Known Use: 1842


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