Timeline for How to prove the convergence of this kind of sequence?
Current License: CC BY-SA 4.0
15 events
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| Jul 6, 2021 at 14:39 | comment | added | Christian Remling | @IosifPinelis: My comment refers to the original version of the question, before the edits. | |
| Jul 6, 2021 at 7:19 | vote | accept | zhjzwlys | ||
| Jul 6, 2021 at 4:31 | comment | added | Iosif Pinelis | @ChristianRemling : I don't understand your comment. How do you get that recurrence? | |
| Jul 6, 2021 at 4:27 | comment | added | Iosif Pinelis | I think the question is rather nontrivial. So, I don't understand the close votes. | |
| Jul 6, 2021 at 4:25 | answer | added | Iosif Pinelis | timeline score: 1 | |
| Jul 5, 2021 at 19:39 | history | edited | zhjzwlys | CC BY-SA 4.0 |
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| Jul 5, 2021 at 18:44 | history | edited | zhjzwlys | CC BY-SA 4.0 |
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| Jul 5, 2021 at 16:34 | history | edited | zhjzwlys | CC BY-SA 4.0 |
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| Jul 5, 2021 at 16:05 | history | edited | zhjzwlys | CC BY-SA 4.0 |
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| Jul 5, 2021 at 14:03 | comment | added | Christian Remling | As for the question itself, we have $x_n=(1+a_{n-1})x_{n-1}$, so $\lim x_n=\prod (1+ a_n)$, and such an infinite product converges if $a_n$ is summable (take the logarithm to see this). | |
| Jul 5, 2021 at 10:26 | history | edited | zhjzwlys | CC BY-SA 4.0 |
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| Jul 5, 2021 at 7:36 | review | Close votes | |||
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| Jul 5, 2021 at 6:57 | history | edited | zhjzwlys | CC BY-SA 4.0 |
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| Jul 5, 2021 at 6:20 | review | First posts | |||
| Jul 5, 2021 at 7:21 | |||||
| Jul 5, 2021 at 6:20 | history | asked | zhjzwlys | CC BY-SA 4.0 |