TUYMAADA 1997 Problem 5

Prove the inequality $\left(1+\frac{1}{q}\right)\left(1+\frac{1}{q^2}\right)...\left(1+\frac{1}{q^n}\right)<\frac{q-1}{q-2}$ for $n\in N, q>2$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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