daniel.jackson
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 Nov12 accepted Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ Nov12 accepted Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ Nov12 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ yes, I was hoping that $a_{n}/n \to 1$ and then it's easy, but guess not :) Nov12 comment Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ actually the next question is to look at $(a_{n})^2 / n$ ;) Nov12 revised Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ edited body Nov12 asked Given $a_{1}=1, \ a_{n+1}=a_{n}+\frac{1}{a_{n}}$, find $\lim \limits_{n\to\infty}\frac{a_{n}}{n}$ Nov12 accepted If $(x_{k})\to L$ and $\forall x_{i}\in (x_{k})$, $x_{i}$ is a subsequential limit of $a_{n}$ then Nov12 asked If $(x_{k})\to L$ and $\forall x_{i}\in (x_{k})$, $x_{i}$ is a subsequential limit of $a_{n}$ then Nov12 comment Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ Thanks, I believe it helped. See my edit. Nov12 revised Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ deleted 10 characters in body; added 42 characters in body Nov12 awarded Editor Nov12 revised Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ added 428 characters in body; deleted 5 characters in body; added 26 characters in body; added 9 characters in body Nov12 asked Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ Nov12 awarded Scholar Nov12 accepted sin(n) subsequence limits set Nov9 awarded Supporter Nov8 comment sin(n) subsequence limits set @Qiaochu: I'm afraid not, this sucks. Here's a more compact output, it only prints when n changes pastebin.com/raw.php?i=NnXpJFZP Nov8 awarded Commentator Nov8 comment sin(n) subsequence limits set @Qiaochu: there are certain values of n that repeat for many many epsilons Nov8 comment sin(n) subsequence limits set @Qiaochu: like this pastebin.com/raw.php?i=aV0UbNUY ?