Return to Question

Post Closed as "too localized" by fedja, Benjamin Steinberg, Ryan Budney, Felipe Voloch, George Lowther

occurred Dec 15, 2011 at 23:17

improved formatting; added 1 characters in body

Source Link

edited Dec 15, 2011 at 22:28

39.9k
10
186
247

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

edited tags

Link

edited Dec 15, 2011 at 20:49

30.3k
9
154
250

sequences-and-series gn.general-topology limits-and-convergence open-problems

Source Link

asked Dec 15, 2011 at 19:02

81
2

Has n^2*|sin(n)| limit?

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

sequences-and-series gn.general-topology limits-and-convergence