To prove: The function
Explanation of Solution
Given information: The given functions are
Formula used: The function
According to the L’Hospital’s rule if value of the limit,
Proof:
The given functions are
Substitute the functions and find the limit,
Find the value of the limit at
Since the value of the second limit is of the form
Differentiate the numerator and denominator of the second limit with respect to
Find the value of the obtained limit.
Since the value of the limit,
So,
Hence Proved.
Chapter 8 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