Concept explainers
Given that
which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible.
(a)
(b)
(c)
(d)
(e)
(a)
Whether
Answer to Problem 1E
The limit function
Explanation of Solution
Given:
The limit functions are,
Definition used:
“If the limit function is of the type
Calculation:
Use the Quotient rule for limits, “limit of the quotient is quotient of the limits”,
Therefore, the limit function
(b)
Whether
Answer to Problem 1E
The limit function
Explanation of Solution
Given:
The limit functions are,
Calculation:
Use the Quotient rule for limits, “limit of the quotient is quotient of the limits”,
Therefore,
(c)
Whether
Answer to Problem 1E
The limit function
Explanation of Solution
Given:
The limit functions are,
Calculation:
Use the Quotient rule for limits, “limit of the quotient is quotient of the limits”,
Therefore,
(d)
Whether
Answer to Problem 1E
The limit function
Explanation of Solution
Given:
The limit functions are,
Calculation:
Use the Quotient rule for limits, “limit of the quotient is quotient of the limits”,
Therefore,
For finding value of limit function consider the following cases:
Case-1: If
Case-2: If
Case-3: If
(e)
Whether
Answer to Problem 1E
The limit function
Explanation of Solution
Given:
The limit functions are,
Calculation:
Use the Quotient rule for limits, “limit of the quotient is quotient of the limits”,
Therefore,
Chapter 4 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
Additional Math Textbook Solutions
Precalculus (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
Precalculus: A Unit Circle Approach
Glencoe Math Accelerated, Student Edition
Calculus: Single And Multivariable
- 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