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One of my friends asked me that is $\varliminf |nsinn|=0$? I think maybe it has some relations with Number theory, But I don't know how to solve it. If you know the answer, please tell me since it really puzzles me!

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marked as duplicate by Igor Rivin, Emil Jeřábek, Douglas Zare, Joe Silverman, user9072 Apr 22 '14 at 16:43

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