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:**

Describing functions that cannot be directly defined using power series, with example of finding the Taylor series for the integral of e^{(-t}2).

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Finding the coefficients for a power series of a function expanded about a specific point.

18.013A

*Calculus with Applications*, Spring 2005

Prof. Daniel J. Kleitman

**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.

18.01 Single Variable Calculus, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

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