Taylor series, derivation of

Let f(x) be given by the following power seriesMathworldPlanetmath:


Now let’s compute a few derivatives at x=a.


From this, it is clear that cn=f(n)(a)n!, thus the series can be written as:


where f(x)=T.

Title Taylor seriesMathworldPlanetmath, derivation of
Canonical name TaylorSeriesDerivationOf
Date of creation 2013-03-22 15:25:24
Last modified on 2013-03-22 15:25:24
Owner apmc (9183)
Last modified by apmc (9183)
Numerical id 6
Author apmc (9183)
Entry type Derivation
Classification msc 41A58