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MathNet 1989 — Part 01 Question 19

Math Olympiad Vault · MathNet 1989 — Part 01

Question 19

Prove that $$
\frac{1}{10 \sqrt{2}} \lt \frac{1 \cdot 3 \cdot 5 \cdots 99}{2 \cdot 4 \cdot 6 \cdots 100} \lt \frac{1}{10}
$$