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 Dec 8 comment How to construct a polynomial from a radix-term? What do you do if we take a negative power over a subterm? Dec 8 comment How to construct a polynomial from a radix-term? How can we prove that for every polynomial with integer coefficients $\sqrt 2$ is a root of, $-\sqrt 2$ is a root, too? Dec 8 comment How to construct a polynomial from a radix-term? @HenningMakholm Ah, that makes sense. Thank you for pointing out the correct term. Nov 27 comment Showing that $\lim_{x\to\infty}\left(\sqrt{x^2+c}-x\right)=0$ I feel dumb now. Nov 11 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? In a triangle $ABC$ with right angle in $ACB$ we define $\sin BAC=BC/AC$. This is the “geometrical” definition for $\sin$ we used. Sep 24 comment Reducing the time to calculate Collatz sequences @sp1rs No. See the answers linking here. Jun 10 comment How and why did Weierstrass $\wp$ get its special symbol? It's basically a cursive / script p. Jun 8 comment How can I make this recurrent equation non-recurrent? @hardmath Yes, that's what I'm trying to do. I just saw myself how trivial this question is. Oct 20 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? It's nice that you post an answer that was literally posted as the top comment to this question. Oct 16 comment How can I find a point where an osculating circle goes through a certain point? @Lays I couldn't find an answer to my question on the page you linked. Please note, that $P$ usually does not lay on $f$. May 9 comment How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? @CutieKrait We defined $\sin$ by geometrical means. Apr 2 comment Why is it impossible to define multiplication in Presburger arithmetic? Ah, I see. Thank you for this answer. Mar 31 comment Why is it impossible to define multiplication in Presburger arithmetic? @MJD How are these axioms? Mar 31 comment Why is it impossible to define multiplication in Presburger arithmetic? @MJD Presburger arithmetic is an axiomatic system. People claim that it is impossible to define multiplication within this system. Why? Sep 8 comment The inverse of the inscribed angle theorem I am sorry. I usually don't ignore the orientation of angles. I should've made that clear beforehand. Sep 8 comment The inverse of the inscribed angle theorem Nice and easy. Thank you! Sep 8 comment The inverse of the inscribed angle theorem In the second case, the sign of the angle $\angle ACB$ is negative. The equation $2\angle ACB=\angle AMB$ does not holds if the signs do not match. Sep 8 comment The inverse of the inscribed angle theorem @Karolis I fixed the error. My bad :-( Sep 8 comment The inverse of the inscribed angle theorem @KarolisJuodelė No. C can be anywhere but the constraint on the angle $\angle ACB$ must hold. Jun 21 comment Evaluating $\int_0^{\sqrt{3}}{\frac{\sqrt{1+x^2}}{x}}\,dx$ Try wolframalpha.com for evaluating integrals. It even shows a step-by-step-solution!