Aryabhata
Reputation
56,743
397/400 score
 Nov12 comment Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ Are you missing some condition on $f'(x)$? For instance take $f(x) = -100x + 1$. Perhaps $f'(x) \ge 0$? Nov12 comment Convergence of $a_{0} = 0, a_{n}=f(a_{n-1})$ when $|f'(x)|\leq \frac{5}{6}$ +1 for showing the work done. Nov12 comment Checking if a number is a Fibonacci or not? Or we can use binary search and avoid floating point computations altogether. Nov12 comment Interesting calculus problems of medium difficulty? +1: Can you please be more specific, though? What sub-forums for instance? Nov12 revised Interesting calculus problems of medium difficulty? added 3 characters in body Nov12 answered Interesting calculus problems of medium difficulty? Nov12 answered Interesting calculus problems of medium difficulty? Nov12 answered Interesting calculus problems of medium difficulty? Nov12 revised Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$ rolled back to a previous revision Nov12 comment Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$ @Derek: i believe it was because of the <. Do you want to rollback to rev 6? Nov11 comment Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$. I removed the different equations and functional analysis tag. Nov11 revised Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$. edited tags Nov11 answered Find all continuous functions $f$ on $\mathbb{R}$ satisfying $f(x)=f(\sin x)$ for all $x$. Nov11 comment Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$ @Derek: Please stop editing! I think I fixed it :-) (See revision 4 or 6) Nov11 revised Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$ rolled back to a previous revision Nov11 revised Summing $\frac{1}{e^{2\pi}-1} + \frac{2}{e^{4\pi}-1} + \frac{3}{e^{6\pi}-1} + \cdots \text{ad inf}$ added 3 characters in body Nov11 revised Convergence of the series $\sum \limits_{n=2}^{\infty} \frac{1}{n\log^s n}$ added 209 characters in body; deleted 3 characters in body; added 10 characters in body; added 3 characters in body Nov11 revised Convergence of the series $\sum \limits_{n=2}^{\infty} \frac{1}{n\log^s n}$ added 48 characters in body; added 14 characters in body Nov11 awarded Strunk & White Nov11 answered Convergence of the series $\sum \limits_{n=2}^{\infty} \frac{1}{n\log^s n}$