Concept explainers
(a)
To find:The points of discontinuity of
(a)
Answer to Problem 20E
The point of discontinuity of
Explanation of Solution
Given information:The function is
Calculation:
The function corresponding to all the values of
As the function
The function corresponding to all the values of
As the function
Now for the continuity of
Find the left hand limit of
So, the left hand limit of
As the function corresponding to all the values of
Find the right hand limit of
So, the right hand limit of
As the left hand limit and right hand limit of
The value of function
So, the function is discontinuous at
Therefore, the point of discontinuity of
(b)
To check:Whether the discontinuity of
(b)
Answer to Problem 20E
The discontinuity of
Explanation of Solution
Given information:The function is
Calculation:
As calculated in part(a), the value of
So, the value of
Therefore, the discontinuity of
Chapter 2 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Precalculus (10th Edition)
Precalculus
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus
Calculus and Its Applications (11th 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