Taylor Polynomials of Sine Function

Taylor Polynomials of the Sine Function (applet) Paul Garrett, garrett@math.umn.edu

This applet graphs the sine function in red, and the Taylor polynomial approximations in white. The gridlines mark off unit amounts in both directions.
Click in the "Increase degree" box to increase the degree of the Taylor polynomial. Evidently the Taylor polynomial matches further and further out as the degree is increase, but in every case diverges wildly at some point from the actual sine function.

Click in "Reset" to start over.

© 1997, Paul Garrett ... [ garrett@math.umn.edu ] The University of Minnesota explicitly requires that I state that "The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota."