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 Nov 19 answered Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule? Nov 19 comment Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule? It probably goes without saying that it's a poor choice for expressions that aren't in an indeterminate form ($\frac{0}{0}$, $\frac{\infty}{\infty}$, $0\cdot \infty$, $0^0$, etc.). Nov 19 comment Are there any limit questions which are easier to solve using methods other than l'Hopital's Rule? $$\lim_{x\to \infty}\frac{2^x}{3^x}$$ is even simpler. Nov 14 comment Determine Fastest 3 horses out of 125 when only 5 racing track are given without using stopwatch? How do you know one of the top 3 horses didn't come in second in one of the 25 races? Nov 14 comment Proof that if $x,z > 0,\ x+z < 1,\ (1+x)\times (1+z) \leq \frac{1}{(1-(x+z))}$ I'm guessing $z=y$. Nov 5 awarded Good Question Oct 20 comment Is there an algorithm for deciding big/little-O queries? Why $\log^{0.999}n$? Oct 20 comment When solving for eigenvector, when do you have to check every equation? I don't think it makes sense to say "not all the equations in (3) are linearly independent". Linear independence is a property of a whole set, not of the elements of a set. It would be clearer to say "the equations in (3) are linearly dependent". Oct 20 comment Clarification to: A finite group that has at most one subgroup of any size is cyclic Perhaps prove the contrapositive. Sep 23 comment Symbol for “probably equal to” (barring pathology)? Put the equals in quotes and then pronounce it with finger quotes. Sep 20 revised How do you explain that in $y=x^2$, y is proportional to the square of x? edited body Sep 20 comment If $ab = y^2$ and $\gcd(a,b) = 1$ then show that a is either a square or the negative of a square. Think about prime factorizations. Sep 16 awarded Notable Question Sep 14 comment Why is Lebesgue so often spelled “Lebesque”? It doesn't help that another famous French mathematician, l'Hôpital, has multiple spelling variants of his name. Sep 7 comment Can infinity be a supremum? Can it be a maximum? If you make this more rigorous, it's effectively the way of defining infinity. Sep 7 comment Conditional probability with sympy Can you link to the SO question? Sep 7 comment Solve $f(x)f(y)=2f(x+yf(x))$ I also agree that the infectivity argument is unclear. Sep 3 revised How do I find the exact value of $\cos^2\left(\frac{5\pi}{12}\right)$? fix the identity Aug 24 revised Are these two optimization problems equivalent to each other? make the 1 vector a little easier to read Aug 14 comment Can a sequence have infinitely many limits among its subsequences? I see. Yes, the $\epsilon$ argument only gives you a finite number of points of the set of points is bounded (as there can only be a finite number of $\epsilon$ balls in a bounded subset of $\mathbb{R}$). If it isn't, the set can be countable, but not uncountable. I'm not sure about using diagonalization as an argument.