Concept explainers
(a)
To find: The limit (if it exists) graphically by using graphing utility to graph the function.
(a)
Answer to Problem 33CR
Explanation of Solution
Given information:
Graph:
Interpretation:
From the graph, as x gets closer and closer to 3,
Thus,
(b)
To find: The limit (if it exists) numerically by using the table feature of the graphing utility to create a table.
(b)
Answer to Problem 33CR
Explanation of Solution
Given information:
Formula used: Construct a table that shows
Calculation:
x | 2.9 | 2.99 | 2.999 | 3 | 3.001 | 3.01 | 3.1 |
0.169 | 0.1669 | 0.16669 | ? | 0.16663 | 0.1663 | 0.163 |
From the table,
As x approaches 3 from the left,
As x approaches 3 from the right,
So, it appears that the closer x gets to 3, the closer
Thus,
Chapter 11 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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