Geodesic
Paradoxes of the “First Remarkable Limit"
Matematičeskoe obrazovanie, no. 3 (2012), pp. 5-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/