On the remainder in the Taylor theorem

Lior Bary-Soroker; Eli Leher

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arXiv · 0801.1271

On the remainder in the Taylor theorem

Lior Bary-Soroker·Eli Leher

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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 $f'\geq 0$ implies the monotonicity of $f$, so it might be an attractive proof to give to undergraduate students.

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BibTeX RIS

Lior Bary-Soroker, Eli Leher. 2008-12-24. On the remainder in the Taylor theorem. https://arxiv.org/abs/0801.1271

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