The following problems are for HW #3, which is due this Thursday, January 18th.
For the first three problems use to show the following limits are true.
- for all .
- Prove for contradiction that the following limit does not exist: .
The rest of the problems are from the textbook.
Chapter 4: 17
Chapter 5: B. 14, 15
Chapter 6: A. 6, 14
EXTRA CREDIT: Following the problem with the last homework, let me be clear that (in this class) counts as a natural number! For extra credit, give an example of a property of natural numbers that is true for all but false for .
Please let me know if you have any questions.