Concept explainers
The sequence is increasing, decreasing or not monotonic and bounded or not bounded.
Answer to Problem 49E
The sequence is monotone decreasing and the sequence is bounded.
Explanation of Solution
Given information: The sequence is
Definitions:
Monotone increasing: A sequence
Monotone decreasing: A sequence
Given sequence,
Now we find
From the above definition, we have
Thus,
Hence,
From the above definition , the sequence is monotone decreasing .
Definition of a bounded sequence: A sequence
So,
Hence, the given sequence is bounded.
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning