Timeline for Convergent subsequence of $\sin n$
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Aug 9, 2013 at 12:05 | comment | added | Liviu Nicolaescu | Let $\theta\in [0,2\pi]$. Pick a decreasing sequence of intervals $I_k\subset [0,2\pi]$ collapsing on $\theta$. For each $k$ find $n_k$ such that $n_k\bmod 2\pi \in I_k$. Then $\sin n_k\to \sin\theta$ as $k\to\infty$. | |
| Aug 9, 2013 at 11:56 | comment | added | Malik Younsi | How does this give an explicit sequence? | |
| Aug 9, 2013 at 11:12 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |