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Top Questions
50
votes
Two curious “identities” on $x^x$,$e$,and $\pi$
integral
asked Nov 22 '12 at 12:08
math.stackexchange.com
5
votes
Root of a special polynomial
polynomials
roots
asked May 1 '12 at 13:26
math.stackexchange.com
Top Answers
10
Sum inequality: $\sum_{k=1}^n \frac{\sin k}{k} \le \pi-1$
math.stackexchange.com
6
How to prove that $\int_0^1\left(\sum_{k=n}^\infty {x^k\over k}\right)^2\,dx = \int_0^1 2x^{n-1}\log\left(1+{1\over\sqrt{x}}\right)\,dx.$
math.stackexchange.com
5
Prove $\sum_{i=1}^{n}\frac{x_{i}^3}{x_{i+1}^2}\geq \sum_{i=1}^{n}\frac{x_{i}^2}{x_{i+1}}$
math.stackexchange.com
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