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Mathematics
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user33096
  • Member for 1 year, 10 months
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10
given that $h$ is differentiable and $h(3x)+h(2x)+h(x) = 0$ for all $x\in\mathbb{R},$ is $h$ necessarily identically zero?
Nov 20, 2022
6
find the smallest n such that $a_n > 2019$
Oct 19, 2022
6
show that $(n/a_n)$ takes every positive integer value
Nov 22, 2022
6
find the largest number you can write with three 3's and three 8's, using only $+,-,/,\cdot$ and exponentiation
Dec 16, 2022
5
Prove that $p_n\to 1/2,$ and $q_n/(1/4)^n\to -1$
Jan 3, 2023
5
given $xf''(x) + f'(x)+f(x)\leq 0\,\forall x > 0.$ Find $\lim\limits_{x\to\infty} f(x)$.
Oct 11, 2022
4
prove that $x^{20}+(1-x)^{20}-20$ is square free
Apr 1, 2023
4
find all $f:\mathbb{R}\to\mathbb{R}$ so that $|f(x+y)-f(x-y) - y|\leq y^2$ for all $x,y\in\mathbb{R}$
Oct 16, 2022
4
prove there are infinitely many positive integers $n$ so that $n$ and $\lfloor a_1 n \rfloor +\cdots + \lfloor a_k n\rfloor$ are coprime
Nov 22, 2022
4
Find all bounded infinite sequences of positive integers $(a_n)$ with $a_n = (a_{n-1}+a_{n-2})/(\gcd(a_{n-1},a_{n-2}))$ for $n\ge 2$.
Oct 1, 2022