MathDB

B6

Part of 1975 Putnam

Problems(1)

Putnam 1975 B6

Source: Putnam 1975

2/17/2022
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.
Putnamharmonic seriesinequalities