# Piecewise Derivation of Taylor Series (12/2021)

## December 14, 2021 | 0 minutes, 21 seconds

Description: Using systems of APOs to derive the Taylor series formula which encodes a sequence as derivatives, with proof of equivalence of polynomials given all derivatives are known. Brief note about errors. Given sufficient convergence and differentiability, this can be extended to fully derive the infinite Taylor series formula.