Concept explainers
a
Graph the function by using a graphing utility.
a
Answer to Problem 38RE
The function converges to a single bounded valve as it approaches
Explanation of Solution
Given information:
Graphically approximate the limit (if it exists) by using a graphing utility to graph the function.
Calculation:
The limit of given function is,
Let plot the given function.
To calculate the model graphically use graphic utility TI-83calculator,
Press Y key and enter the equation,
Press zoom and 0: zoom fit,
Now plot window,
From the graph we observe that the function converges to a single bounded valve as it approaches
Hence the function converges to a single bounded valve as it approaches
b
Create a table by using the table feature of the graphing utility.
b
Answer to Problem 38RE
Limit converges to value
Explanation of Solution
Given information:
Numerically approximate the limit (if it exists) by using the table feature of the graphing utility to create a table.
Calculation:
Numerically approximate the limit using
Press Y key and enter the equation,
Press 2nd key and window to set table.
Press 2nd key and graph button to enter the value of
Hence limit converges to value
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