Taylor series

In mathematics, the Taylor series of an infinitely often differentiable real (or complex) function f defined on an open interval (a − r, a + r) is the power series

Related Topics:
Mathematics - Differentiable - Function - Open interval - Power series

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T(x) = sum_{n=0}^{infin} rac{f^{(n)}(a)}{n!} (x-a)^{n}.

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Here, n! is the factorial of n and f (n)(a) denotes the nth derivative of f at the point a. If a = 0, the series is also called a Maclaurin series.

Related Topics:
Factorial - Derivative

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