Remember the busy Bee? The one that kept flying from the bicyclist to his home and back as he approached it?

Well, at the instant when the person finally got to his house, which way was the Bee facing? (Assume that the Bee's turns are instantaneous - that it can go from facing the house to facing the cyclist in no time.)

The number of flights the bee took is infinite in principle, so implying that it faces left or right at that instant would also imply that the number of flights is finite.

By the way, a very similar problem was given to me as a Calc II exam problem. 

Posted by Alexis on 2005-11-02 15:49:19