22. Power Series - Contents

1. What is a Power Series?

     1   2
   1. Sequences and Series of Functions
   2. Center, Terms and Coefficients

2. Radius of Convergence

     1   2
   1. Non-Zero, Finite Cases
   2. Extreme Cases

3. Interval of Convergence

     1
   1. Interval of Convergence

4. Functions Defined by Power Series

     1
   1. Functions Defined by Power Series
      1. Example: The Bessel Function

5. Constructing New Power Series from Old Ones

     1   2
   1. Operations on Power Series
      1. Substitution
      2. Addition and Subtraction
      3. Multiplication by Polynomials
      4. Differentiation
      5. Integration
   2. Summing Numeric Series

6. Exercises

     1
   1. Exercises