Module 9

Taylor Polynomials

Contents

Purpose:

    Explore the fact that a polynomial could be completely determined by its value and the values of its derivatives at x = 0. Find out that as terms of higher degree are added with the appropriate coefficients, approximation to the "target" polynomial improves in the sense that the two functions appear to match over a wider domain centered at 0. Further, extend this idea to approximations of a non-polynomial function.

¡@

¡@

Last Modified: 7.3.2003