On the remainder in the Taylor theorem

Details On the remainder in the Taylor theorem On the remainder in the Taylor theorem

2008-01-08

arxiv.org/abs/0801.1271v2

Mathematics

Classical Analysis and ODEs

2 pages, the proof was shortened

Scientific paper

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.

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