Please show your work and explanation

Extra Credit Problem 1: + + lim 8-+00 + ) = ? In ( @ ) Extra Credit Problem 2: A Cantor set is a subset of the interval [0, 1]. To construct the cantor set, first remove the middle third, (, 3) of the interval, leaving two line segments. For the second step, remove the middle third of each of the two remaining segments, leaving four line segments. Continue this procedure indefinitely. The Cantor set is the set of remaining numbers. Step 0: [0, 1] Step 1: [0, 3] [3, Step 2: [0, ,ju [;, ;] [3, 31 018, 1] a) Find the length of all the segments removed. b) List three numbers in the Cantor set. c) Find the remaining length of segments in the cantor set. Page 7