Math 2300 Section 005 – Calculus II – Fall 2010

Notes on Taylor Polynomials – October 11 & 15, 2010

Definition of a Taylor Polynomial

The Taylor polynomial of degree approximating near is

Similarly, the Taylor polynomial of degree approximating near is

This may not at first seem obvious, but if you have calculated the th Taylor Polynomial, you can find the th Taylor polynomial by adding one more term. That is