User:Smarty101
- 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
be defined on 
such that![\[p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}\]](//latex.artofproblemsolving.com/d/b/8/db8a962259534784b579fa7c951325c128903aca.png)
where 
is the greatest prime factor of 
Express the range of 
in interval notation.
be defined on 
such that![\[p(x) = \begin{cases} x + 1 &\quad \lfloor x \rfloor\text{ is prime} \\ p(y) + (x + 1 - \lfloor x \rfloor) &\quad \text{otherwise} \end{cases}\]](http://latex.artofproblemsolving.com/d/b/8/db8a962259534784b579fa7c951325c128903aca.png)
where 
is the greatest prime factor of 
Express the range of 
in interval notation.When you find the answer click here and put the solution.
- Take the buddymeter here
Goals
Level 25 in everything on Alcumus User:Smarty101/Template:Progress Bar
