(5) Give an example for each of the following statements, if it is not possible, explain why? (a) A bounded sequence that is not convergent. (b) A convergent sequence that is not bounded. (c) A monotone sequence that is not convergent. (d) A convergent sequence that is not monotone.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(5) Give an example for each of the following statements, if it is not
possible, explain why?
(a) A bounded sequence that is not convergent.
(b) A convergent sequence that
not bounded.
(c) A monotone sequence that is not convergent.
(d) A convergent sequece that is not monotone.
Transcribed Image Text:(5) Give an example for each of the following statements, if it is not possible, explain why? (a) A bounded sequence that is not convergent. (b) A convergent sequence that not bounded. (c) A monotone sequence that is not convergent. (d) A convergent sequece that is not monotone.
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