Topology of Real Numbers, Compact Sets, Infinite Limits, and Sequences, math homework help
I have a work sheet (13 questions) on topology of real numbers, compact sets, infinite limits and sequences that I need help with. I would prefer that the questions be answered on the word document so It is easier to read. I also need to see the work, please. I am also including pg 69 to help with question #13.
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In calculus, you learned about sequences and series. Be sure you understand the distinction. A SEQUENCE is simply a denumerable LIST of numbers. We would like to know what happens to the numbers in the list as we go further and further down the list. Do they get closer and closer (arbitrarily close) to a particular number? If so, then the sequence converges to that number. A SERIES is a SUM of numbers. Numbers are being ADDED together. In this week, we are NOT considering series. We are examining sequences, and we are learning how to formally prove results involving sequences. In later weeks, we will be working with infinite series, but not now. |
math301week4homework.docx
basic_analysis___introduction_to_real_analysis.pdf
