Concept explainers
a.
To find the value of each quantity if it does not exist explain why.
a.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches -3 from the left, h(x) approaches 4
b.
To find the value of each quantity if it does not exist explain why.
b.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches -3 from the left, h(x) approaches 4
c.
To find the value of each quantity if it does not exist explain why.
c.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches -3 from the left, h(x) approaches 4
d.
To find the value of each quantity if it does not exist explain why.
d.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches -3 from the left, h(x) approaches 4
e.
To find the value of each quantity if it does not exist explain why.
e.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
Looking at the graph, we can see that the function approaches (and actually reaches) 1 as x approaches 0 from the left side.
f.
To find the value of each quantity if it does not exist explain why.
f.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
Looking at the graph, we can see that the function approaches (and actually reaches)
g.
To find the value of each quantity if it does not exist explain why.
g.
Answer to Problem 6E
Doesn’t exist.
Explanation of Solution
Given:
Calculation:
The given graph is
Since the left hand limit and the right hand limit are not equal, the limit doesn’t exist.
h.
To find the value of each quantity if it does not exist explain why.
h.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
i.
To find the value of each quantity if it does not exist explain why.
i.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches
j.
To find the value of each quantity if it does not exist explain why.
j.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches
k.
To find the value of each quantity if it does not exist explain why.
k.
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
The given graph is
As x approaches
l.
To find the value of each quantity if it does not exist explain why.
l.
Answer to Problem 6E
Does not exist.
Explanation of Solution
Given:
Calculation:
The given graph is
The behavior of the graph is not clear when x approaches
Hence limit doesn’t exist.
Chapter 2 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- 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