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

Describing functions that cannot be directly defined using power series, with example of finding the Taylor series for the integral of e^(-t2).

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

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.

Solution (PDF - 4.0 MB) Pages 102 to 104