Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the remainder in the Taylor theorem   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.

28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics