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Convergence of Taylor Series

Activity Overview

A Taylor Series for a function becomes the function as the number of terms increases towards infinity.

Objectives

  • Show graphically that a Taylor Series for a function becomes the function as the number of terms increases towards infinity

About the Lesson

  • The teacher will graphically demonstrate the property of a Taylor Series becoming equal to a function as the number of terms reaches infinity. As the n value in the slider changes, more or less terms of the Taylor Polynomial are shown. As n increases, the graphs become the same.

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