(a)
To show:.
(a)
Explanation of Solution
Given information:
Let
There will be two consecutive integers k and
All components of the inequality are subtracted by 1,
By the definition of the greatest integer function,
If combine the scenarios in which
Divide all members of the inequality by
If
(b)
To find: The value of
(b)
Answer to Problem 66E
The limit is 1.
Explanation of Solution
Given information: The limit is
Calculation:
To use the Sandwich Theorem and component (a),
(c)
To find: The value of
(c)
Answer to Problem 66E
The limit is 1.
Explanation of Solution
Given information: The limit is
Calculation:
The given limit is:
To apply the Squeeze theorem, prove that the extremities have a right end behavior limit and that it is the same,
And
As 1 is an end behavior model for
As the extremities have same limit ,then so will the same function, and therefore,
Therefore, the required
Chapter 1 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- 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