Matematičeskoe obrazovanie, no. 3 (2012), pp. 5-9
Citer cet article
I. Astakhova; V. Ivanof. Paradoxes of the “First Remarkable Limit". Matematičeskoe obrazovanie, no. 3 (2012), pp. 5-9. http://geodesic.mathdoc.fr/item/MO_2012_3_a1/
@article{MO_2012_3_a1,
author = {I. Astakhova and V. Ivanof},
title = {Paradoxes of the {{\textquotedblleft}First} {Remarkable} {Limit"}},
journal = {Matemati\v{c}eskoe obrazovanie},
pages = {5--9},
year = {2012},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MO_2012_3_a1/}
}
TY - JOUR
AU - I. Astakhova
AU - V. Ivanof
TI - Paradoxes of the “First Remarkable Limit"
JO - Matematičeskoe obrazovanie
PY - 2012
SP - 5
EP - 9
IS - 3
UR - http://geodesic.mathdoc.fr/item/MO_2012_3_a1/
LA - ru
ID - MO_2012_3_a1
ER -
%0 Journal Article
%A I. Astakhova
%A V. Ivanof
%T Paradoxes of the “First Remarkable Limit"
%J Matematičeskoe obrazovanie
%D 2012
%P 5-9
%N 3
%U http://geodesic.mathdoc.fr/item/MO_2012_3_a1/
%G ru
%F MO_2012_3_a1
The authors show that traditional derivations of the limit sin x/x $\to$ 1 as x $\to$ 0 based on school notions of angle measure and the function sin x contain vicious circle and analyze some alternative approaches.