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Animating Nested Taylor Polynomials to Approximate a Function

by Eric F. Mazzone, (Rensselaer Polytechnic Institute) and Bruce R. Piper (Rensselaer Polytechnic Institute)

This article originally appeared in:
College Mathematics Journal
November, 2010

Subject classification(s): Single Variable Calculus | Series
Applicable Course(s): 3.2 Mainstream Calculus II | 3.6 Differential Equations

The authors provide a condition for a function to have nested \(n\)-th degree Taylor polynomials with varying centers, which can approximate the function visually.

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Capsule Course Topic(s):
One-Variable Calculus | Theoretical Issues
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