The answer that actually makes sense reminds me of the inverse square theory. And to those that say infinity-infinity is indefinite, it isn't. Theoretical physicist Richard Feynman did that to renormalize equations. Infinity can't even be reached outside of theoretical physics.
Wow, this thread has been necroposted twice.On topic:How can you have an infinite amount of balls in the first place?
On topic: The important thing to note in this problem is not how many balls are added/removed, but which particular balls are removed. If one plots the function G where G is the number of balls in bucket 2 at any time, it will rise very sharply before 12:00 and be exactly 0 at 12:00.