Power Series
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:
Using Power Series to Solve Calculus Problems
Describing functions that cannot be directly defined using power series, with example of finding the Taylor series for the integral of e(-t2).
18.01 Single Variable Calculus, Fall 2005
Prof. Jason Starr
Course Material Related to This Topic:
Expressions for Coefficients of a Power Series
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:
General Power Series
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