a.
To prove : The function
a.
Explanation of Solution
Given information : The two functions to compare are
Formula used : If
Proof :
Consider the limit of the ratio of the functions
The limit is of the indeterminate form,
So, simplify the limit by using the L’Hospital’s rule.
As the limit of the ratio of the functions is zero when
b.
To prove : The function
b.
Explanation of Solution
Given information : The two functions to compare are
Formula used : If
Proof :
Consider the limit of the ratio of the functions
The limit is of the indeterminate form,
So, simplify the limit by using the L’Hospital’s rule.
As the limit of the ratio of the functions is zero when
Chapter 8 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/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