To find: The value of limit.
Answer to Problem 10E
The limit is 0.
Explanation of Solution
Given information: The limit is
Calculation:
The given expression is:
The sandwich theorem holds true because the limits of the two "breads" are equal, and the limit of the "meat" is also equal.
If these criteria are satisfied, it can be said that
Remember that
Therefore
Add 1 to all three parts:
Divide all parts by
Note that:
To use (Condition 1) and {Condition 2) conclude that:
Therefore the required limit is 0.
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
- 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