(a)
To find: The limit
(a)
Answer to Problem 25RE
The limit is 1.
Explanation of Solution
Given information: The limit is
Calculation:
The given limit is:
Although the function is defined at
Therefore the required limit
(b)
To find: The value of
(b)
Answer to Problem 25RE
The value is
Explanation of Solution
Given information: The function is
Calculation:
The given function is
As stated in part (a), observe that the function is defined as
The point is shown as a dot on the graph.
Therefore, the required value of
(c)
To find: determine the value of
(c)
Answer to Problem 25RE
Explanation of Solution
Given information: From part a)
And b)
Calculation:
By definition
(d)
To find: The points of discontinuity of
(d)
Answer to Problem 25RE
Discontinuous at
Explanation of Solution
Given information: From part a)
Calculation:
Therefore, the required answer is discontinuous at
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