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leshik

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

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  • Member for 9 years, 6 months
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  • Last seen Jan 17 '20 at 9:20

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15 How prove this function $f(x)=x!-x^n$ is injective Jan 28 '14
12 How many positive integer solutions to $a^x+b^x+c^x=abc$? Sep 1 '11
12 How prove that $x_1 = x_{2000}$ implies $x_2 \ne x_{1999}$, where $x_{n+2}=\frac{x_{n}x_{n+1}+5x^4_{n}}{x_{n}-x_{n+1}}$? Jul 1 '13
11 About the addition formula $f(x+y) = f(x)g(y)+f(y)g(x)$ Jul 15 '13
9 If $f(x)\to 0$ as $x\to\infty$ and $f''$ is bounded, show that $f'(x)\to0$ as $x\to\infty$ Jun 23 '13
9 How prove this inequality: $\sum_{i,j=1}^{n}|x_{i}+x_{j}|\ge n\sum_{i=1}^{n}|x_{i}|$? Oct 2 '13
8 How prove this $\int_{a}^{b}f^2(x)dx\le (b-a)^2\int_{a}^{b}[f'(x)]^2dx$ Sep 20 '13
8 Is it possible to have $f(x)f''(x) \leq -1$ for all $x \in [0,\infty)$? Dec 31 '13
8 An inequality from Littlewood's Miscellany Jun 11 '13
8 Do there exist two primes $p<q$ such that $p^n-1\mid q^n-1$ for infinitely many $n$? Jun 13 '13
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