Find a formula for a function f, that satisfies the following conditions:
1. lim(x->+/-infinity)f(x) = 0,
2. lim(x->0)f(x) = -infinity,
3. lim(x->3-)f(x) = infinity,
4. lim(x->3+)f(x) = -infinity,
5. f(2) = 0.
Functions are found that satisfy limits. The solution is detailed and well presented.