Math Help - Factorial problems

1. 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.

2. Re: Factorial problems

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 $x\ge 0,~f(x) = \frac{{3!}}{{\left\lfloor x \right\rfloor !}}$.