On the remainder in the Taylor theorem
Classical Analysis and ODEs
2008-12-24 v2
Abstract
We give a short straightforward proof for the bound of the reminder term in the Taylor theorem. The proof uses only induction and the fact that implies the monotonicity of , so it might be an attractive proof to give to undergraduate students.
Keywords
Cite
@article{arxiv.0801.1271,
title = {On the remainder in the Taylor theorem},
author = {Lior Bary-Soroker and Eli Leher},
journal= {arXiv preprint arXiv:0801.1271},
year = {2008}
}
Comments
2 pages, the proof was shortened