Concept explainers
(a)
To sketch: The graph of
(a)
Explanation of Solution
Definition used:
If the left hand limit of
Use online graphing calculator to draw the graph of the function
The function
Use online graphing calculator to draw the graph of the function
From Figure 1, it is observed that the left hand limit of
Use definition stated above, it can be concluded that the function
Therefore, the function
(b)
To calculate: The left and right limits of
(b)
Answer to Problem 50E
The left limit of
Explanation of Solution
Given:
The function is
Result Used:
The value of
Calculation:
The given can be expressed as follows,
The left limit of
Use Result stated above and obtain the left limit,
Therefore, the left limit is
The right limit of
Use Result stated above and obtain the left limit,
Therefore, the right limit is
Note that, the left limit of
That is,
Use definition stated above, it is conclude that the function
Therefore, the function
Chapter 3 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