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Radius/Interval of Convergence

Lecture Notes

Power Series

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Section 1, Page 1 to page 2

Definition, with examples of convergent and divergent power series. Radius of convergence is defined.

Course: 18.01 Single Variable Calculus, Fall 2005
Instructor: Prof. Jason Starr
Prior Knowledge: Sequences and Series (lecture 30)
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Analytic Functions

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Section 2, Page 2 to page 4

Analytic functions and Taylor series are defined, including the concept of an infinitely differentiable function.

Course: 18.01 Single Variable Calculus, Fall 2005
Instructor: Prof. Jason Starr
Prior Knowledge: Power Series (section 1 of this lecture)
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Online Textbook Chapter

Power Series and Radius of Convergence

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Definitions with an example.

Course: 18.01 Single Variable Calculus, Fall 2006
Instructor: Prof. David Jerison
Prior Knowledge: Infinite Series (OT30.1)
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Exam Questions

General Power Series

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Problem 7D-1 (page 45) to problem 7D-3 (page 45)

Three multi-part questions which involve finding power series for various trigonometric, exponential, logarithmic, and rational functions, in addition to finding the radius of convergence and evaluating four limits using power series.

Course: 18.013A Calculus with Applications, Spring 2005
Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: None

Solution (PDF - 4.0 MB) Pages 102 to 104

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