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 Apr 21 comment What equation produces this curve? @Giffyguy You might want to consider that using a trigonometric function often is way slower than some basic arithmetic operations. So if you have to call this often, using Mark H's answer can improve speed. Mar 10 comment Why is $1 - \frac{1}{1 - \frac{1}{1 - \ldots}}$ not real? Instead of just leaving something away to terminate the "…", you could as well set it to some arbitrary value, e. g. 2. Then there would never "lurk" a DBZ deep inside. Sep 12 awarded Yearling Jun 24 comment Solution to quadratic question of the form 0/0 You should add an answer to the question "where is the catch", meaning, where in OP's argumentation is the error. Apr 27 awarded Critic Feb 4 awarded Nice Question Jan 20 comment Reason for LCM of all numbers from 1 .. n equals roughly $e^n$ Not as simple as I hoped for, but I managed. And furthermore I think it won't get much simpler than that. Jan 20 accepted Reason for LCM of all numbers from 1 .. n equals roughly $e^n$ Jan 20 revised Reason for LCM of all numbers from 1 .. n equals roughly $e^n$ plot fix Jan 20 asked Reason for LCM of all numbers from 1 .. n equals roughly $e^n$ Sep 30 awarded Explainer Sep 12 awarded Yearling Dec 9 accepted Is it valid to write $\displaystyle \lim_{x \to 0} \frac{1}{x^2} = \infty$? Dec 9 comment Is it valid to write $\displaystyle \lim_{x \to 0} \frac{1}{x^2} = \infty$? Just for completeness: What about $\lim_{x \to 0} \frac{1}{x} = ±\infty$? Dec 9 comment Is it valid to write $\displaystyle \lim_{x \to 0} \frac{1}{x^2} = \infty$? That $+\infty$ thing is interesting. Does it mean that $\infty$ without the $+$ can mean positive as well as negative? In particular, can one write $\lim_{x \to 0} \frac{1}{x} = \infty$ even if that can be positive or negative? Dec 9 comment Is it valid to write $\displaystyle \lim_{x \to 0} \frac{1}{x^2} = \infty$? No problem, since I'm not so fluent in English mathematics, questions like these point out things to me I didn't know yet. So the case here with limes vs. limit. Thanks to @Daniel Fischer. :) Dec 9 comment Is it valid to write $\displaystyle \lim_{x \to 0} \frac{1}{x^2} = \infty$? No …? Your question baffles me. Dec 9 asked Is it valid to write $\displaystyle \lim_{x \to 0} \frac{1}{x^2} = \infty$? Dec 4 awarded Scholar Dec 4 accepted Non-iterative solution for $(a + nb)\mod c < d$