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Find the limit

Source: product with sin1 * sin 2 * ... * sin n

February 1, 2009
limittrigonometrygeometrymodular arithmeticprobabilityintegrationlogarithms

Problem Statement

Evaluate the limit: lim⁡n→∞n⋅sin⁡1⋅sin⁡2⋅⋯⋅sin⁡n. \lim_{n \to \infty}{n \cdot \sin{1} \cdot \sin{2} \cdot \dots \cdot \sin{n}}. Proposed to "Unirea" Intercounty contest, grade 11, Romania
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