Timeline for An elementary proof for a limit? [closed]
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 2, 2016 at 8:13 | history | closed |
R W Alexey Ustinov Myshkin Lucia Marco Golla |
Not suitable for this site | |
| Oct 2, 2016 at 2:46 | vote | accept | T. Amdeberhan | ||
| Oct 1, 2016 at 23:58 | review | Close votes | |||
| Oct 2, 2016 at 8:13 | |||||
| Oct 1, 2016 at 23:09 | history | edited | GH from MO |
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| Oct 1, 2016 at 23:08 | comment | added | reuns | I would say that $\frac{1}{k \log k} - \int_k^{k+1} \frac{1}{x \log x}dx = \int_k^{k+1}(\frac{1}{k \log k} - \frac{1}{x \log x})dx = \int_k^{k+1} \int_k^x (\frac{-1}{t \log t})' dt dx$ $ = \int_k^{k+1} \int_k^x \frac{1+\log t}{t^2 \log^2 t} dt dx = \mathcal{O}(k^{-2})$ and I think it is more elementary than any calculus-less approach | |
| Oct 1, 2016 at 22:55 | answer | added | Vladimir Dotsenko | timeline score: 5 | |
| Oct 1, 2016 at 22:21 | answer | added | Fedor Petrov | timeline score: 3 | |
| Oct 1, 2016 at 21:59 | history | asked | T. Amdeberhan | CC BY-SA 3.0 |