%0 Journal Article
%T On the remainder in the Taylor theorem
%A Lior Bary-Soroker
%A Eli Leher
%J Mathematics
%D 2008
%I arXiv
%X 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 $f'\geq 0$ implies the monotonicity of $f$, so it might be an attractive proof to give to undergraduate students.
%U http://arxiv.org/abs/0801.1271v2