** 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
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author. The contents of this page have not been reviewed or approved
by the University of Minnesota."*