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MathNet 2020 — Math Olympiad Vault — Part 03 Question 87

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 03

Question 87

Estimate
$$
N = \prod_{n=1}^{\infty} n^{n^{-1.25}}
$$
An estimate of $E \gt 0$ will receive $\lfloor 22 \min (N / E, E / N) \rfloor$ points.