a.
To find: The point of discontinuity.
a.
Answer to Problem 21E
The point of discontinuity occurs at
Explanation of Solution
Given:
Calculation:
Find the point of discontinuity:
Left hand limit:
Right hand limit:
It can be seen that left- and right-hand limits are not equal. So, the function is discontinuous at
b.
To find: The whether the function removal or non-removal discontinuity.
b.
Answer to Problem 21E
The function is nonremovable and infinite discontinuity.
Explanation of Solution
Given:
Calculation:
From part
Find whether the function removal or non-removal discontinuity:
The discontinuity at
Chapter 1 Solutions
CALCULUS-W/XL 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