Share
Explore BrainMass

Taylor polynomial approximation

Suppose that the function F:R->R has derivatives of all orders and that:

F"(x) - F'(x) - F(x) = 0 for all x
F(0)=1 and F'(0)=1

Find a recursive formula for the coefficients of the nth Taylor polynomial for F:R->R at x=0. Show that the Taylor expansion converges at every point.

Solution Summary

This shows how to find a recursive formula for the coefficients of the nth Taylor polynomial for a given situation.

$2.19