Section 12.10 Worksheet:

Assignment: Exercises pp. 794-795, #8, 14, 28, 32, 36, 45 (due Thursday, 4/15).

1. The coefficients in a power series have a very special relationship to the function f defined by the power series, as well as to the point a about which it is centered: characterize this relationship.

2. What's the difference between a Taylor series and a Maclaurin series?

3. What do you notice about the powers that appear in the power series expansion of by comparison with the powers that appear in the power series expansion of ?

4. Is it legal (in the State of Kentucky) to add, subtrace, multiply, or divide power series?