[Value = 4 points]
A bug is at the origin of the Cartesian coordinate plane. It travels one unit right, to the point (1,0). It then makes a 90 degree turn counterclockwise, and travels .5 units to (1,.5). It continues in this manner -- making 90 degree turns counterclockwise, and each time travelling half as far as on the previous move. In the limit, what point does the bug approach?
