Concept explainers
a.
Evaluate
a.
Answer to Problem 2PS
Explanation of Solution
Given information:
Sketch the graph of the function
Evaluate
Calculation:
Consider the following limit
To sketch the graph of the function using the graphing utility Ti-83, proceed as follows.
Press
Now press window and choose proper scale. The display will be
Now press graph, the display will be
To evaluate the value of the function at the defined points, proceed as follows.
Use the definition of maximum integer function and evaluate.
Definition of maximum integer function:
When
When
When
When
Hence, At the integral points the value of the function is
b.
Evaluate the following limits.
b.
Answer to Problem 2PS
Explanation of Solution
Given information:
Sketch the graph of the function
Evaluate the following limits.
Calculation:
Consider the following limit
To sketch the graph of the function using the graphing utility Ti-83, proceed as follows.
Press
Now press window and choose proper scale. The display will be
Now press graph, the display will be
Now consider the following limit of the function.
To evaluate the limit of the function at the defined points, use the observations made in the previous section.
Observe that the limiting value is less than
Hence the limiting value is lying between
Hence
Now consider the limit of the function.
To evaluate the limit of the function, use the observations made in the previous section
Observe that the limiting value is less than
Hence the limiting value is lying between
Hence
Now consider the following limit of the function
To evaluate the limit of the function, use the method of direct substitution.
Hence,
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