= Taylor Series =

'''Taylor series''' are an evolution of [[Calculus/Linearization|linearizations]].

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== 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:

{{attachment:taylor.svg}}

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'''.



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CategoryRicottone