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MathNet 2022-part-06 — 196 problems (EN–VI) Question 145

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 145

Compute the nearest integer to
$$
100 \sum_{n=1}^{\infty} 3^{n} \sin^{3}\left(\frac{\pi}{3^{n}}\right)
$$