Taylor Series
Taylor series are an evolution of linearizations.
Contents
Usage
To estimate an unknown value f(x), pick a value a near x. Using the iteratively higher power derivatives at a, estimate f(x) as:
The series can be infinite, but if it converges then the omitted components represent an error term that approaches 0 as more components are added.
If x is 0, then it is a Maclaurin series.