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 Jan8 comment Given the cartesian coordinates of four points, how to calculate the interection of two lines they form? @J.M. Of course. This possibility is ruled out. Dec2 comment Defining division by zero @picakhu You are going to run into problems when calculating limits. Just consider $\lim_{n\to0}\frac{2n}n$. Using your method, one gets $\frac{\infty_0}{\infty_0}=1$, while one gets $\frac21=2$ using the definition of limits. Nov13 comment How to convert $\sqrt{\frac{5}{3}}$ to $\frac{\sqrt{15}}{3}$? @Max ${5\over3}\to{15\over9}$ Nov13 comment How to convert $\sqrt{\frac{5}{3}}$ to $\frac{\sqrt{15}}{3}$? BTw, you can use LaTeX makeup by starting with an \$and ending with another \$, for instance $\sqrt{\frac{5}{3}}$ becomes $\sqrt{\frac{5}{3}}$. Nov11 comment A lemma of convergence @André: yes. We already proved that. Nov8 comment The Mathematics of Tetris That's an interesting question! I don't see any special reason for this, though. Nov1 comment Prove the identity $\sum\limits_{s=0}^{\infty}{p+s \choose s}{2p+m \choose 2p+2s} = 2^{m-1} \frac{2p+m}{m}{m+p-1 \choose p}$ Hm... I recall that or a similar identity from Concrete Mathematics... maybe I find it again. Oct24 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? @Gortaur: Well, that's not that difficult. You just need to find a geometrical interpretation of sine and cosine. Oct23 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? Sorry for that. Oct23 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? Thank you very much. I know that proverb, but I really wasn't able to find that out on my own. Oct23 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? Hm... But now, how to prove that $\cos$ is continuous? (Read the question!) Oct23 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? Okay. I had a look at the link Yuval provided. That proof works. Anyway, thanks for the effort. Oct23 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? But how to prove that \$\sin x