Convergence of Taylor Series
Math: Calculus: Series and Taylor Polynomials
Math: AP Calculus: AP Calculus
9-12
45 Minutes
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™ Apps for iPad®
4.0
Lessons
TNS
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.
Math: Calculus: Series and Taylor Polynomials
Math: AP Calculus: AP Calculus
9-12
45 Minutes
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
TI-Nspire™ Apps for iPad®
4.0
Lessons
TNS
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Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.