Animating Nested Taylor Polynomials to Approximate a Function
Eric F. Mazzone, Bruce Piper · College Mathematics Journal · 2010
SummaryThe way that Taylor polynomials approximate functions can be demonstrated by moving the center point while keeping the degree fixed. These animations are particularly nice when the Taylor polynomials do not intersect and form a nested family. We prove a result that shows when this nesting occurs. The animations can be shown in class or incorporated into computer labs.