NL-NWO 1992 Problem 4

For every positive integer $n$ , we define $n?$ as $1?=1$ and $n?=\frac{n}{(n-1)?}$ for $n \ge 2$ .

Prove that $\sqrt{1992}<1992?<\frac{4}{3} \sqrt{1992}.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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