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Taylor series

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noun Tay·lor series \ˈtā-lər-\

Definition of Taylor series

  1. :  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



Origin and Etymology of taylor series

Brook Taylor †1731 English mathematician


First Known Use: 1842


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to make consistent or congruous

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