Anon
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 Dec 18 awarded Yearling Dec 18 awarded Yearling Jul 8 awarded Nice Question Jun 6 awarded Enlightened Jun 6 awarded Nice Answer Feb 1 comment How to integrate $\int_0^{\pi/2}\frac{\sin^nx}{\sin^nx+\cos^nx}dx$? Hmmmm.......... Feb 1 comment a limit involving derivative Unless the function is flat, I guess the result is (via L'Hopital) $a^n$ where $n$ is the first natural number where the $n$th derivative of $f$ is non-zero. I don't see how convexity or $f(1) = 1$ will be relevant here... Feb 1 comment a limit involving derivative How would the information $f(1) = 1$ have any effect on the final result? Feb 1 comment A simple inequality with logarithms and exponential Are the logs $\log_2$ instead of $log2$? Feb 1 comment 2 color theorem Oh I got it now, you start from a blank paper but your line can self-intersect :) Feb 1 comment 2 color theorem You mean I pick an arbitrary graph, start from an arbitrary point, draw a line an come back, and look at the new graph? Feb 1 answered How can I evaluate $\lim_{x\to1}\frac{\sqrt{5-x}-2}{\sqrt{2-x}-1}$ without invoking l'Hôpital's rule? Feb 1 comment Expectation Poisson Distribution Note that $\sum_{k=0}^{\infty}\frac{x^k}{k!} = e^x$. Jan 31 revised How to understand that sequence is logarithmic? added 4 characters in body Jan 31 answered How to understand that sequence is logarithmic? Jan 31 comment Proof of the Sum of Square Roots $\exists a>0,b>0$ with $\sqrt{a+b} = \sqrt{a}+\sqrt{b}$? The problem is there is no such $a$ and $b$. Jan 31 comment Mean value theorem help? For the one with $e^x$, how about checking the Taylor series for $e^x$? Jan 31 comment Mean value theorem help? Hey, don't feel "retarded" man, it is just a matter of experience. After a little while, you will be solving these like butter and bread. Jan 31 comment Counting the number of vectors close to all rotations Your distance is what is called the "Hamming distance," and your question is related to what is known as "cyclic codes." I suggest you read the corresponding Wiki article. Jan 31 comment closest point to on $y=1/x$ to a given point Yes, you are right, my bad.