Geodesic
Wokół liczb i szeregów harmonicznych
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 99-109.

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The harmonic series is one of the most celebrated infinite series ofmathematics. From a pedagogical point of view, the harmonic series providesa wealth of opportunities. Applications such as Gabriel’s wedding cake andEuler’s proof of the divergence of prime numbers can lead to some verynice discussions. The main idea of this article is to survey some of unusual,insightful and inspiring divergence proofs. First of all, this article is addressedat first-year calculus students.
Keywords: harmonic numbers, harmonic series, divergence 
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Wiśniewski, Damian. Wokół liczb i szeregów harmonicznych. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 7 (2015) no. 1, pp. 99-109. http://geodesic.mathdoc.fr/item/AUPCDM_2015_7_1_a7/