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piteer

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 6 years, 4 months
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  • Last seen Aug 18 at 10:43

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27 Prove that $2^{2^{\sqrt3}}>10$ Dec 28 '14
23 How to prove that $ \sin \angle{GAB}+\sin \angle{GBC}+\sin \angle{GCA} \le \frac{3}{2} $ for a triangle $ABC$ with centroid $G$? Apr 25 '15
13 How to prove that $\frac{a}{\sqrt{a+b}}+\frac{b}{\sqrt{b+c}}+\frac{c}{\sqrt{c+a}}\leq\frac{3\sqrt{3}}{4}$? May 3 '15
11 Determine all $a,b,c\in \mathbb{Z}$ for which the equation $(a^2+b^2)x^2-2(b^2+c^2)x-(c^2+a^2)=0$ has rational roots. Dec 25 '16
10 $6$ points in the interior of a square of side length $2$. Apr 8 '16
10 How prove $ \sqrt{2}+\sqrt{3}>\pi$? Aug 1 '14
9 How find limit $\displaystyle \lim_{n\to\infty}n\left(1-\tfrac{\ln n}{n}\right)^n$ Apr 5 '15
9 How find $\lim\limits_{n \to \infty } \sqrt{n} \cdot \sqrt[n]{\left( \lim\limits_{n \to \infty } a_n\right)-a_n}$? Jul 16 '15
8 How prove $ \; |f(1)|\le 2004\;$ if $\sqrt {x(1 - x)}\; \Big|f(x)\Big|\le 334$ for $f(x) = Ax^2+ Bx + C $ Aug 8 '14
8 How to prove that $|bc| \le \frac{3 \sqrt{3} }{16}$? [duplicate] Sep 16 '17
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