Concept explainers
a.
To find: the value of
a.
Answer to Problem 46E
Explanation of Solution
Given information: Given
Calculation:
b.
To find: the first ten term of the sequence correct to five decimal places and does it appears that the sequence is convergent and estimate the value of the limit to three decimal places.
b.
Answer to Problem 46E
Explanation of Solution
Given information: The given sequence is defined by:
Calculation:
So, to find the first 10 terms, use the given equation of the sequence:
The series does appears convergent and by looking at the last term it appears to converge around the value:
c.
To find: the value of
c.
Answer to Problem 46E
Explanation of Solution
Given information: Given
The given sequence is defined by:
Calculation:
However because n is never negative x cannot be negative so:
The above is exactly what found in part (b).
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