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Putnam 1975 B6

Source: Putnam 1975

February 17, 2022
Putnamharmonic seriesinequalities

Problem Statement

Let Hn=∑r=1n1rH_n=\sum_{r=1}^{n} \frac{1}{r}. Show that n-(n-1)n^{-1\slash (n-1)}>H_n>n(n+1)^{1\slash n}-n for n>2n>2.
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