His theorem develops polynomials from repeatedly differentiable functions.
Some versions of the theorem named for this person have the Radius of Convergence Theorem built into them. His namesake theorem applies to functions that are smooth at x=0. Additionally, some versions have a term attributed to Lagrange [lah-GRANJ] or Cauchy [cow-shee] to account for errors. His theorem develops polynomials from repeatedly differentiable functions. Name this person whose namesake polynomials, a specific case of which are MacLaurin series, use derivatives and factorials to approximate a function.
Some versions of the theorem named for this person have the Radius of Convergence Theorem built into them.
Brook Taylor