Proof: Take a square, and divide it 4 equal pieces. Now take 3 pieces and let the area of this part be A (See the red part in Figure1a). Now repeat this process on the fourth piece of the orginal square. This time the area of the three pieces is is A/4 (See the light blue area in Figure1b). Repating this process again and again we may get a sequence of areas,





The part
goes to A/3 (See Figure2a)
Thus,