Chapter 10
Polynomial and Series Representations of Functions
Chapter Summary
Concepts and Applications
Concepts
- Geometric sums
- Geometric series
- Taylor polynomials
- Taylor series
- Convergence of sequences and series
- Power series
- Series of constants
- Harmonic series
- Alternating harmonic series
- Leibniz series
- Alternating Series Test
- Comparison to a Geometric Series
- Ratio Test
- Substitution in power series
- Integration of power series
- Error estimates for approximations
Applications