Lecture
Taylor Polynomials: Approximating Functions with Taylor Polynomials
Description
This lecture explores the concept of Taylor polynomials, focusing on how increasing the order of the Taylor polynomial improves the approximation of function values for a given x. It discusses examples with cos(x), exp(x), and ln(x), showing how the correction term tends to zero as the order of the polynomial increases. The lecture also demonstrates how Taylor polynomials can be used to calculate limits of functions, even when the function is not well-defined at a certain point.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.