Timeline for Does the limit of $x_n$, defined by $x_{n+1}=1/(m+1-nx_n)$ exist?
Current License: CC BY-SA 4.0
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Sep 27, 2022 at 12:13 | comment | added | Pietro Majer | I like the last argument (we may say: "$x_{n+1}-x_{n-1}\ge C/n$ implies $x_n$ is not a Cauchy sequence") | |
Sep 27, 2022 at 11:17 | vote | accept | math110 | ||
Sep 27, 2022 at 11:15 | comment | added | math110 | the solution is very Nice!+1, it seem can improve this $x_{n+1}(mn^k-nx_{n})=1,k\in [0,1/2)$,then $x_{n}$ does not have a limit | |
Sep 27, 2022 at 9:51 | history | edited | GH from MO | CC BY-SA 4.0 |
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Sep 27, 2022 at 6:35 | history | edited | GH from MO | CC BY-SA 4.0 |
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Sep 27, 2022 at 6:28 | history | edited | GH from MO | CC BY-SA 4.0 |
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Sep 27, 2022 at 6:22 | history | edited | GH from MO | CC BY-SA 4.0 |
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Sep 27, 2022 at 6:01 | history | edited | GH from MO | CC BY-SA 4.0 |
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Sep 27, 2022 at 5:54 | history | edited | GH from MO | CC BY-SA 4.0 |
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Sep 27, 2022 at 5:47 | history | answered | GH from MO | CC BY-SA 4.0 |