Concept explainers
(a)
To approximate: the limitgraphically
(a)
Answer to Problem 58E
Here, the value of the limit is
Explanation of Solution
Given:
Calculation:
Part A In order to approximate this one-sided limit, graph the function and view it within a small widow around
Conclusion:
Hence, the limit approaches
(b)
To approximate: the limitNumerically
(b)
Answer to Problem 58E
Here, the limit approaches
Explanation of Solution
Calculation:
Now, numerically approximate the limit by using a table of values of
| |
The table also shows that the function appears to approach the value .1 as
Conclusion:
Hence,the limit approaches
(c)
To evaluate:the limitalgebraically
(c)
Answer to Problem 58E
Here, the limit of thefunction is
Explanation of Solution
Calculation:
Part C In order to evaluate this limit algebraically, first notice that direct substitution of 5 into the function as written results in the indeterminate form:
By direct substitution
Therefore, the limit of this function as
Conclusion:
Hence, the limit of this function is
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