Concept explainers
a.
To estimate: The value of the limit of function
a.
Answer to Problem 20E
The value of the limit is
Explanation of Solution
Given information:
Limit is
Concept used:
When function is continuous and differentiable at the point the limit exists.
Limit is
From graph it can be observed that value of y − coordinate of x − coordinate which is slightly less than
So,
So, the limit value of
b.
To estimate: The value of the limit.
b.
Answer to Problem 20E
The value of the limit is doesn’t exist.
Explanation of Solution
Given information:
Limit is
Concept used:
When function is continuous and differentiable at point the limit exists.
Limit is
From graph it can be observed that value of y − coordinate of x − coordinate which is slightly less than
So,
Therefore, limit doesn’t exists.
c.
To estimate: The value of the limit.
c.
Answer to Problem 20E
The value of limit of the limit doesn’t exit.
Explanation of Solution
Given information:
Limit is
Concept used:
When function is continuous and differentiable at the point the limit exist.
Limit is
As explained in above subparts
So,
Therefore limit doesn’t exist.
d.
To estimate: The value of the limit.
d.
Answer to Problem 20E
The value of limit is
Explanation of Solution
Given information:
Limit is
Limit is
From graph it can be observed that y − coordinate which is slightly less than
So, the limit value of
e.
To estimate: The value of the limit.
e.
Answer to Problem 20E
The value of limit is
Explanation of Solution
Given information:
Limit is
Limit is
From graph it can be observed that the value of y − coordinate of x − coordinate which is slightly greater than
So, the value of
f.
To estimate: The value of the limit.
f.
Answer to Problem 20E
The value of limit of the limit doesn’t exit.
Explanation of Solution
Given information:
Limit is
Concept used:
When function is continuous and differentiable at the point the limit exist.
Limit is
From above subpart d and e
And at
So,
Therefore limit doesn’t exist.
Chapter 13 Solutions
Precalculus: Mathematics for Calculus - 6th 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