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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.