Monday, March 12, 2012

Taylor series

This applet shows the first 5 Taylor polynomials of a given function. The function is editable, and also the center of the neighborhood.


This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com


Observe how the successive orders converge to the given functions.

What happens if the function is a polynomial of order 5 or less?

What happens if the function has discontinuities, like tan(x)?

What happens if the function is not differentiable, like abs(x)?

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