# What is Taylor’s formula? What does it say about the errors in-volved in using Taylor polynomials to approximate functions? In particular, what does Taylor’s formula say about the error in a lin-earization? A quadratic approximation?

Question

What is Taylor’s formula? What does it say about the errors in-volved in using Taylor polynomials to approximate functions? In particular, what does Taylor’s formula say about the error in a lin-earization? A quadratic approximation?