Taylor Approximations

This applet is designed to let students visualize how Taylor polynomials can be thought of as better and better approximations of a function.  The applet lets you look at the first 4 Taylor polynomials of a function, as well as the error terms obtained by subtracting the approximation from the original function.  Since we are looking at approximation, the applet evaluates the function and the approximations at a distance delX from the original point.

Click on the button below to launch the applet.

Things to notice:

This applet was designed as by modifying an applet from a demo by Tom Banchoff at Brown University.  It is used with permission.   Go to the Banchoff Applet Help page.

Return to the Banchoff Applet page.
Return to the SLU Calculus Applet page.

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Last updated By Mike May, S.J. ,  October 6, 2006.