The cantor set is constructed as follows. start with a closed interval [0, 1] and remove the open interval ( 1 3 , 2 3 ). that leaves the two intervals [0, 1 3 ] and [ 2 3 , 1]. remove the middle third of each of these closed intervals, leaving four intervals. continue the process of removing the middle third of each interval that remains from the previous step. the cantor set consists of the numbers that are not removed during the process. (a) show that the total length of the intervals removed is 1. (b) despite the result of part a. there are infinitely many numbers in the cantor set. list three numbers in the cantor set.