Representing Functions as Power Series

  • Power series allow us to represent associated functions on an appropriate interval.

    • This section will focus on representing given functions as a power series.

      • Using a known series, a power series for a given function can be derived using operation such as term-by-term differentiation or term-by-term integration, and by various methods (e.g. algebraic processes, substitutions, or using properties of geometric series).

Essential Questions

How can functions be represented as a power series?