## 8.4. Taylor Series

### Definition 8.4.3: Taylor Series

Suppose

*f*is an infinitely often differentiable function on a set*and***D***c*. Then the series**D**is called the (formal) Taylor series ofT_{f}(x, c) =

*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.