You are responsible for all questions. Hand in complete solutions to the starred problems only. The page numbers refer to H.L. Royden, Real Analysis, Third Edition, 1988. You should give complete and rigorous arguments in answering each question. This homework should be turned in no later than Monday, February 18, 2008. Please turn in this page with your solutions.
Page 34: 1, 2, 3*, 4, 5*.
Page 38: 9*, 10, 11, 12, 16*, 20*
Page 46: 35*, 36, 37, 38, 39*.
Page 49: 43, 48*.
Page 53: 52, 53, 54*.