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Definition 8.4.3: Taylor Series

Suppose f is an infinitely often differentiable function on a set D and c D. Then the series
Tf(x, c) =
is called the (formal) Taylor series of f centered at, or around, c. If c = 0 the series is sometimes also called MacLaurin Series, i.e. a MacLaurin series is a Taylor series around zero.

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