Timeline for Convergence of a sequence
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 12, 2022 at 5:53 | answer | added | Alapan Das | timeline score: 1 | |
| Oct 12, 2022 at 5:34 | history | became hot network question | |||
| Oct 12, 2022 at 3:50 | vote | accept | Jean Legall | ||
| Oct 12, 2022 at 1:38 | answer | added | Saúl RM | timeline score: 7 | |
| Oct 11, 2022 at 22:16 | comment | added | Jean Legall | Thanks for your reply. In this case what additional assumption should be made on $a_k$? Like if I know $a_k$ is always very small, e.g., $a_k<0.1$? | |
| Oct 11, 2022 at 21:58 | comment | added | Saúl RM | Even if $x_k$ is defined for all $k$, you can find $a_0$ so that $x_1$ is slightly less than $\frac{1}{2}$ and then adjust $a_k$ so that $x_k=\frac{1}{2}(x_{k-1}+\frac{1}{2})$, so in general this does not converge to $1$ | |
| Oct 11, 2022 at 21:48 | comment | added | Christian Remling | A more basic problem is that $x_k$ need not even be defined for all $k$ (when $x_{k-1}=0$). | |
| Oct 11, 2022 at 21:34 | history | asked | Jean Legall | CC BY-SA 4.0 |