Taylor Series

The applet below shows a function f and the N^{th} degree Taylor polynomial of f about x=c. The gray region shows the fit of the polynomial over the interval (c-r, c+r). The error function is the absolute value of the difference between f and the Taylor polynomial. You may adjust the values of N, c, and r by clicking on and dragging the corresponding points.

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Stemkoski and Storm, Created with GeoGebra