Is there any sub-sequence $n_k$ of natural numbers such as $\lim(n_k^2|\sin(n_k)|) = 0$ ? when $k$ tends to infinity. In other words, does $\lim(n^2|\sin(n)|)$ exist (equal to infinity)? or there is no such limit?

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## **closed** as too localized by fedja, Benjamin Steinberg, Ryan Budney, Felipe Voloch, George Lowther Dec 15 '11 at 23:17

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doknow the answer but, as fedja noted, are still many years from proving it. – Noam D. Elkies Dec 15 '11 at 19:42