Concept explainers
a.
To evaluate: the given function
a.
Answer to Problem 49E
Explanation of Solution
Given:
A function f is a ratio of quadratic functions and has a vertical asymptote
Also, it is known that function f has a removable discontinuity
Calculation:
The given function
There is a a removable discontinuity
Therefore,
Given that:
Then,
Therefore,
Substitute
b.
To evaluate: the given function
b.
Answer to Problem 49E
Explanation of Solution
Given:
A function f is a ratio of quadratic functions and has a vertical asymptote
Also, it is known that function f has a removable discontinuity
Calculation:
The given function
There is a a removable discontinuity
Therefore,
Given that:
Then,
Therefore,
Now find the limit:
Divide both numerator and denominator by x , then
Chapter 2 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