Taylor’s theorem

1 Taylor’s Theorem

Let f be a function which is defined on the interval (a,b) and suppose the nth derivative f(n) exists on (a,b). Then for all x and x0 in (a,b),


with y strictly between x and x0 (y depends on the choice of x). Rn(x) is the nth remainder of the Taylor seriesMathworldPlanetmath for f(x).

Title Taylor’s theorem
Canonical name TaylorsTheorem
Date of creation 2013-03-22 11:56:53
Last modified on 2013-03-22 11:56:53
Owner Andrea Ambrosio (7332)
Last modified by Andrea Ambrosio (7332)
Numerical id 11
Author Andrea Ambrosio (7332)
Entry type Theorem
Classification msc 41A58
Related topic TaylorSeries