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

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

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

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Definitions with an example.

18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

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.

18.013A

*Calculus with Applications*, Spring 2005

Prof. Daniel J. Kleitman

**Course Material Related to This Topic:**

- Complete exam problems 7D-1 to 7D-3 on page 45
- Check solution to exam problems 7D-1 to 7D-3 on pages 102–4