Chapter 7: Q. 24 (page 592)
Let
(a) Explain why
(b) Explain why the sequence
(c) Provide an upper bound for the sequence
(d) What is the least upper bound of the sequence
(e) Use this sequence to explain why the Least Upper Bound Axiom does not apply to the set of rational numbers.
Short Answer
Part a. For each
Part b. The sequence is increasing because each
Part c. An upper bound for the sequence
Part d. The least upper bound of the sequence
Part e. The Least Upper Bound Axiom does not apply to the set of rational numbers because the sequence