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Miklos Schweitzer 1951_1

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October 8, 2008
real analysisreal analysis unsolved

Problem Statement

Choose terms of the harmonic series so that the sum of the chosen terms be finite. Prove that the sequence of these terms is of density zero in the sequence 1,12,13,…,1n,… 1,\frac12,\frac13,\dots,\frac1n,\dots
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