Section 12.8 Worksheet: Power Series

Assignment: Exercises pp. 778-779, #4, 9, 14, 16, 20, 21, 24, 27, 28, 29, 37, 38 (due Thursday, 4/1).

1. How might you describe a power series in words?

2. What do you learn about Bessel functions?

3. What are the three possibilities for convergence of a power series?

4. Why is there a radius of convergence? Why do we run into problems on a region centered at a? (This may not be obvious from the reading!)