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• 30 This infinitely nested root gives me two answers $ \sqrt{4+\sqrt{8+\sqrt{32+\sqrt{512+\sqrt{\frac{512^2}{2}+\sqrt{...}}}}}} $
• 25 What am I doing wrong in this proof?
• 14 Prove that $e^\frac{x+y}{2} < \frac{1}{2}(e^x+e^y)$ for $x\neq y$
• 14 Minimize $\left(a+\frac1a\right)\left(a+\frac1b\right)$+$\left(b+\frac1b\right)\left(b+\frac1c\right)$+$\left(c+\frac1c\right)\left(c+\frac1a\right)$
• 13 Expected number of steps to finish all the cookies
• 13 Number of functions such that $f(f(f(x)))=x$
• 13 Evaluation of $\lim_{x\rightarrow \infty}\left\{\left[(x+1)(x+2)(x+3)(x+4)(x+5)\right]^{\frac{1}{5}}-x\right\}$
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