Concept explainers
To find: the limit of the function.
Answer to Problem 30RE
The limit of the function
Explanation of Solution
Given:
Concept used:
If the function will be in the form of indeterminate
In this kind of situation
Which state that the limit of a quotient of the functions is equal to the limit of quotient of the derivative.
This rule can be applied as much as necessary so to get not Indeterminate Forms.
Calculation:
By putting direct
In this kind of situation
Which state that the limit of a quotient of the functions is equal to the limit of quotient of there derivative.
Finding derivative of numerator and denominator.
Taking limit of each term:
Which is in the form of indeterminate
This rule can be applied as much as necessary so to get not Indeterminate Forms.
So, differentiating numerator and denominator.
Hence the limit of the function
Chapter 4 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