Evan Hu Sophomore studying EE/CS. This year I'm also taking CS 162, NUSCTX 10, the Game Design and Development DeCal and an SCET class called Metaverses, NFTs and Creator Economies on the Blockchain! {{ :math104-s22:s:evanhu:scanned_documents.pdf | HW1}} {{ :math104-s22:s:evanhu:scanned_documents_2.pdf | HW2}} {{ :math104-s22:s:evanhu:scanned_documents_3.pdf | HW3}} {{ :math104-s22:s:evanhu:scanned_documents_4.pdf | HW4}} HW4 5 Questions: 1. 11.5) What exactly is meant by the enumeration of the rationals? 2. For 12.12a, I tried for a while to prove the last inequality (limsup sigma_n <= limsup s_n) but couldnt find a way, does anyone have any advice? 3. How do you calculate the limit of n!^(1/n)? 4. What is the proof for 1/n diverging? 5. How is Cauchy criterion most used in proofs? Where does its usefulness lie? {{ :math104-s22:s:evanhu:hw_5.pdf | HW5}} {{ :math104-s22:s:evanhu:scanned_documents_5.pdf | HW6}} {{ :math104-s22:s:evanhu:scanned_documents_6.pdf | HW7}} {{ :math104-s22:s:evanhu:scanned_documents_7.pdf | HW8}} {{ :math104-s22:s:evanhu:9.pdf | HW9}} {{ :math104-s22:s:evanhu:scanned_document3s.pdf | HW10}} {{ :math104-s22:s:evanhu:fscanned_documenfts_2.pdf | HW11}}