1. Let S be the set . Is S dense in ?
2. Solve the functional equation for (May be R->R?)
3. Solve
4. Solve the recurrance relations with .
5. Does there exist a limit such that but ľHôpital’s rule cannot be used (repeatly)?
   (If the rule yields a non-existsing limit or can be directly simplified like , it is considered to be valid).
6. In , it is known that the hyperarea of each facet of a polytope is fixed. Is it true that a concyclic (?) polytop yields the maximum content?
7. Given . Find the probability that .

Q7… It isn’t 2/π, is it? -.-

Last edited by Kenny TM~ on Thu Sep 30, 2004 5:03 pm; edited 3 times in total