4. (10 points) The Cantor set is a subset of the unit interval, [0,1], constructed by, first, removing the middle third, , 3), of the interval. Second, remove the middle third of each of the two remaining segments; this leaves four line segments, as shown in the figure below. Continue this procedure indefinitely. The Cantor set is all the remaining numbers. 0 * I H 0 10 OIN NO wo b. Write down four numbers that are in the Cantor set. C. Find the total length of all the line segments that are removed. d. Let Cn denote the total length of the remaining line segments after n steps. Find lim Ch 700