Concept explainers
Graph a table of values for the function
Answer to Problem 18E
Explanation of Solution
Given:
Concept Used:
When solving for limits, substitute values that are close to the value of
Chain rule is a formula to solve the derivative of a composite function. Thus, if the given is f(g(x)), it’s derivative is computed as f’(g(x)) and g’(x).
Calculation for graph:
Consider
Values of x | Values of f ( x ) |
0.1 | 0.4730 |
0.01 | 0.4997 |
0.001 | 0.4999 |
By taking different values of x , the graph can be plotted.
The table shows that as
Graph:
Interpretation:
The graph shows that as
Calculation:
Estimating the limit numerically,
Conclusion:
Therefore, when
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- 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