(a)
To Prove: The given expression for the given range.
(a)
Explanation of Solution
Given:
The given equation expression is,
The given range is,
Calculation:
Consider the series is,
Then, solve as,
Since,
Hence, the formula is proved.
(b)
To Prove: The expression
(b)
Explanation of Solution
Given:
The given expression is
Calculation:
Consider the given expression is,
Then, differentiate the above equation as,
Since,
Hence, proved.
(c)
To Prove: The expression
(c)
Explanation of Solution
Calculation:
Consider
Let us take
Thus, the value of
Then,
That is
Hence, Proved.
Chapter 8 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