On the Remainder in the Taylor Theorem.

Research output: Contribution to journalArticlepeer-review


The writers give a short straightforward proof for a bound on the reminder term in the Taylor theorem. The proof might be an attractive proof to give to undergraduate students because it uses only induction and the fact that f′ ≥ 0 implies the monotonicity of f.
Original languageEnglish
Pages (from-to)373-374
Number of pages2
JournalCollege Mathematics Journal
Issue number5
StatePublished - 1 Nov 2009


  • Taylor's series
  • Proof theory
  • Lagrange equations
  • Mathematical proofs
  • Induction (Mathematics)
  • Monotonic functions
  • Numerical analysis


Dive into the research topics of 'On the Remainder in the Taylor Theorem.'. Together they form a unique fingerprint.

Cite this