Ma Ming
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 29 Sum of four squares not a prime 19 Limit. $\lim_{n \to \infty}\frac{1^p+2^p+\ldots+n^{p}}{n^{p+1}}$. 18 Finding $f(x)$ of functional equation 15 Prove that $\left(\frac12(x+y)\right)^2 \le \frac12(x^2 + y^2)$ 14 If I have three points, is there an easy way to tell if they are collinear?

### Reputation (6,321)

 +5 Hawaiian earring is not a cofibration -2 How prove this number $(a,b,n)=(1,1,4k)$ +10 Limit. $\lim_{n \to \infty}\frac{1^p+2^p+\ldots+n^{p}}{n^{p+1}}$. +10 Common tangent between two parabolas

### Questions (31)

 11 Inequality $\sum_{1\le k\le n}\frac{\sin kx}{k}\ge 0$ 10 Compute the expectation of steps making $n$ different balls the same 7 Evaluate $\frac{2}{4}\frac{2+\sqrt{2}}{4}\frac{2+\sqrt{2+\sqrt{2}}}{4}\cdots$ 7 A functional equation with inequality 6 Structure constants of Lie algebra

### Tags (128)

 73 inequality × 25 43 contest-math × 6 53 calculus × 30 35 complex-analysis × 18 47 elementary-number-theory × 7 33 algebra-precalculus × 12 44 linear-algebra × 22 30 real-analysis × 16 44 limits × 19 29 sequences-and-series × 21

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