Abstract
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 language | English |
|---|---|
| Pages (from-to) | 373-374 |
| Number of pages | 2 |
| Journal | College Mathematics Journal |
| Volume | 40 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Nov 2009 |
Keywords
- Taylor's series
- Proof theory
- Lagrange equations
- Mathematical proofs
- Induction (Mathematics)
- Monotonic functions
- Numerical analysis