Consider the unit square in the :ry-plane whose corners are (0.0), {1,0}, ([1. 1} and (1. 1). Subdivide it into nine equal smaller squares and remove the square in the centre. NextJ subdivide each of the remaining eight squares into nine even smaller squares. and remove each of the centre squares. And so on. The following diagram shows what's left after the rst three steps of this construction. Give an example of a point in the original square that never gets removed. Show that the area of what is left over when all those squares have been removed is I], by verifying that the sum of the areas of all the removed squares is l