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Competitive Stats
Q59Section C (Section C)59 of 60

Exponential limit with a sine twist

Let α=lim⁡n→∞(1+nsin⁡3n2)2n\alpha=\lim_{n\to\infty}\left(1+n\sin\frac{3}{n^{2}}\right)^{2n}. Then, ln⁡α\ln\alpha is equal to __________.

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