This applet and accompanying activities illustrate the Taylor approximation to a function through a series of interactive exercises. The applet allows the user to see the maximum error that an approximation makes over an interval. The order of the approximation, the center of the approximation, and the radius of the interval can all be changed by the user.
Open the pdf file and applet in separate windows (or print the pdf file instead) so you can work through the suggested activities.
Click here to download all five LaTeX activity files as a single compressed file. These have the same content as the posted pdf files. They are included in LaTeX form for those who would like to edit them for their own use.