Is there any subsequence $n_k$ 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 23:17This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question. 

