# Factorial problems

• May 7th 2012, 02:23 PM
youklid
Factorial problems
Having some trouble plotting the equation for a graph I need. Wanting to graph 3!/4!, 3!)/5!, 3!/6! etc. etc. but I'm not sure what the equation would look like that would keep 3! constant but the denominator continually increasing one integer. I've tried doing this using some basic compounding interest formula's, but I think I'm going in the totally wrong direction. Any help would be greatly appreciated! Many thanks.
• May 7th 2012, 02:37 PM
Plato
Re: Factorial problems
Quote:

Originally Posted by youklid
Having some trouble plotting the equation for a graph I need. Wanting to graph 3!/4!, 3!)/5!, 3!/6! etc. etc. but I'm not sure what the equation would look like that would keep 3! constant but the denominator continually increasing one integer. I've tried doing this using some basic compounding interest formula's, but I think I'm going in the totally wrong direction. Any help would be greatly appreciated! Many thanks.

Use the floor function for $\displaystyle x\ge 0,~f(x) = \frac{{3!}}{{\left\lfloor x \right\rfloor !}}$.