Concept explainers
a.
To find: To approximate the limit by using a graphing utility to graph the function.
a.
Answer to Problem 59E
The approximate limit by using a graphing utility to graph the given function is
Explanation of Solution
Given:
The above graph is the graphical representation of the given function with the limits
Thus we can find the limit using graphing utility.
b.
To find: To numerically approximate the limit by using the table feature of the graphing utility to create a table.
b.
Answer to Problem 59E
The numerically approximate limit using a table from the graph is
Explanation of Solution
Given:
From the graph we can create a table,
x | f(x) |
16.5 | -0.124038 |
16.4 | -0.124228 |
16.3 | -0.124419 |
16.2 | -0.12612 |
16.1 | -0.124805 |
16 | Indeterminate |
15.9 | -0.125196 |
Therefore we can conclude that numerically the limit of the given function does is
c.
To find: To algebraically evaluate the limit by using the appropriate techniques.
c.
Answer to Problem 59E
By evaluating the given limit algebraically the limit is
Explanation of Solution
Given:
Initially factor the numerator and denominator,
Thus we can approximate the limit algebraically.
Chapter 11 Solutions
Precalculus with Limits: A Graphing Approach
- 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