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Post Reopened by Igor Rivin, Benjamin Steinberg, Pietro Majer, Aaron Meyerowitz, Andrey Rekalo
Post Closed as "Not suitable for this site" by user6976, Felipe Voloch, Anton Petrunin, Eric Wofsey, David White
fixed typesetting
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Igor Rivin
Igor Rivin
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It is well known (not to me -- ed.) that for every real number $\theta \in [0, 1]$ there existsa a sequence $(k_i)$ such that $\lim\sin k_i = \theta,$ but there appear to be no explicit such (infinite) sequences, even for $\theta=0.$ Does anyone know of such?

It is well known (not to me -- ed.) that for every real number $\theta \in [0, 1]$ there existsa sequence $(k_i)$ such that $\lim\sin k_i = \theta,$ but there appear to be no explicit such (infinite) sequences, even for $\theta=0.$ Does anyone know of such?

It is well known (not to me -- ed.) that for every real number $\theta \in [0, 1]$ there exists a sequence $(k_i)$ such that $\lim\sin k_i = \theta,$ but there appear to be no explicit such (infinite) sequences, even for $\theta=0.$ Does anyone know of such?

rewrote the question to be somewhat more human-readable.
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Igor Rivin
Igor Rivin
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Convergent subsequence of sin n$\sin n$

Does anyone know the expression of one? It is well known (not to me -- ed.) that for every real number in [0,1] is a sublimit,$\theta \in [0, 1]$ there existsa sequence $(k_i)$ such that $\lim\sin k_i = \theta,$ but it seemsthere appear to be hard to find a general termno explicit such (even trying the convergence to 0infinite). sequences, even for $\theta=0.$ Does anyone know of such?

Convergent subsequence of sin n

Does anyone know the expression of one? It is well known that every number in [0,1] is a sublimit, but it seems to be hard to find a general term (even trying the convergence to 0).

Convergent subsequence of $\sin n$

It is well known (not to me -- ed.) that for every real number $\theta \in [0, 1]$ there existsa sequence $(k_i)$ such that $\lim\sin k_i = \theta,$ but there appear to be no explicit such (infinite) sequences, even for $\theta=0.$ Does anyone know of such?

edited body
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user38393
user38393
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Does anyone know the expression of one? It is well known that every number in [0,1] is a sublimit, but isit seems to be hard to find a general term (even trying the convergence to 0).

Does anyone know the expression of one? It is well known that every number in [0,1] is a sublimit, but is seems to be hard to find a general term (even trying the convergence to 0).

Does anyone know the expression of one? It is well known that every number in [0,1] is a sublimit, but it seems to be hard to find a general term (even trying the convergence to 0).

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user38393
user38393
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