Timeline for A challenging (for me) limit calculation
Current License: CC BY-SA 4.0
26 events
| when toggle format | what | by | license | comment | |
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| Oct 25, 2023 at 11:01 | comment | added | Dan | We can generalize: $\lim_{n\to\infty} \sqrt{n} \sin^{\circ n}\left( \frac{x}{\sqrt{n}} \right) = \frac{\sqrt{3}x}{\sqrt{x^2+3}}$ | |
| Oct 24, 2023 at 8:08 | review | Close votes | |||
| Oct 26, 2023 at 15:35 | |||||
| Oct 24, 2023 at 1:50 | history | edited | Michael Hardy | CC BY-SA 4.0 |
added 10 characters in body
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| Oct 23, 2023 at 19:31 | comment | added | Will Jagy | see Asymptotic Methods in Analysis by de Bruijn. He does iterated sine in detail, pages 153-166 in the Dover edition. | |
| Oct 23, 2023 at 14:53 | history | became hot network question | |||
| Oct 23, 2023 at 13:35 | history | reopened |
Steven Landsburg Alexandre Eremenko Dattier Michael Albanese joro |
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| Oct 23, 2023 at 13:26 | comment | added | Sam Nead | For some reason I was reading (over and over again) the limit of $n \cdot S^{(n)}(1/n)$. | |
| Oct 23, 2023 at 13:08 | comment | added | Sam Nead | Oh, I was totally wrong about the square root being irrelevant. Perhaps I would have had an easier time with this problem if we had defined $S^{(n)}$ to be sine composed with itself $n$ times, and then asked about the limit of $n \cdot S^{(n^2)}(1/n)$. Sigh. | |
| Oct 23, 2023 at 10:47 | review | Reopen votes | |||
| Oct 23, 2023 at 13:40 | |||||
| Oct 23, 2023 at 9:44 | history | closed |
YCor Thomas Rot Sean Eberhard Daniele Tampieri Jukka Kohonen |
Not suitable for this site | |
| Oct 23, 2023 at 9:40 | vote | accept | C. WANG | ||
| Oct 23, 2023 at 9:40 | vote | accept | C. WANG | ||
| Oct 23, 2023 at 9:40 | |||||
| Oct 23, 2023 at 8:42 | answer | added | Daniel Weber | timeline score: 46 | |
| Oct 23, 2023 at 8:35 | comment | added | Thomas Rot | @SamNead: Why? Numerically it seems to go to 0.8660... . But I don't think this is suitable for mathoverflow | |
| Oct 23, 2023 at 8:30 | review | Close votes | |||
| Oct 23, 2023 at 9:44 | |||||
| Oct 23, 2023 at 8:27 | comment | added | PseudoNeo | Why is the square root sign irrelevant? | |
| Oct 23, 2023 at 8:11 | history | edited | YCor | CC BY-SA 4.0 |
fixed typing
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| Oct 23, 2023 at 7:14 | history | edited | C. WANG | CC BY-SA 4.0 |
added 6 characters in body
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| Oct 23, 2023 at 7:13 | comment | added | Sam Nead | Also, there should be $n$ trailing parentheses, not five. That is, you are missing another “cdots”. | |
| Oct 23, 2023 at 7:11 | history | edited | C. WANG | CC BY-SA 4.0 |
deleted 6 characters in body
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| Oct 23, 2023 at 7:10 | comment | added | Sam Nead | Also, the limit is one. | |
| Oct 23, 2023 at 7:09 | history | edited | Sam Nead | CC BY-SA 4.0 |
Formatting
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| Oct 23, 2023 at 7:07 | comment | added | Sam Nead | The square root sign is irrelevant and should be removed (in both places). | |
| S Oct 23, 2023 at 7:05 | history | suggested | mathworker21 | CC BY-SA 4.0 |
fixed English
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| Oct 23, 2023 at 7:02 | review | Suggested edits | |||
| S Oct 23, 2023 at 7:05 | |||||
| Oct 23, 2023 at 6:50 | history | asked | C. WANG | CC BY-SA 4.0 |