User:Smarty101

Revision as of 16:05, 25 January 2021 by Smarty101 (talk | contribs)
  • i'm a user on AoPS hi
  • He plays surviv.io
  • he is good at math
  • As of 12/28/2020 7:36 PM his alcumus rating is 84.1
  • i like pizza and lasagna

______________ 12/28/2020

His alcumus rating is now about 99.13

  • He has remembered all of the answers to Piecewise-Defined Functions
  • Here is one of the hardest problems: Let $p(x)$ be defined on $2 \le x \le 10$ such that\[p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}\]where $y$ is the greatest prime factor of $\lfloor x\rfloor.$ Express the range of $p$ in interval notation. Try to solve it.


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