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:
Analytic Functions
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:
Power Series and Radius of Convergence
Definitions with an example.
18.01 Single Variable Calculus, Fall 2006
Prof. David Jerison
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.
18.013A 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