Concept explainers
(a)
Whichlimit can be evaluated by using direct substitution. Thenevaluate or approximate each limit.
(a)
Answer to Problem 39E
This limit can be evaluated using direct substitution. Value of
Explanation of Solution
Given info:
Formula used:
If f(x) becomes arbitrarily close to a unique number L as approaches c fromeither side, then the limit of f(x) as approaches c is L. This is written as
Calculation:
We have
Substituting directly,
This limit can be evaluated using direct substitution. Value of
Conclusion:
Thus,this limit can be evaluated using direct substitution. Value of
(b)
Whichlimit can be evaluated by using direct substitution. Thenevaluate or approximate each limit.
(b)
Answer to Problem 39E
This limit cannot be evaluated using direct substitution. Value of
Explanation of Solution
Given info:
Formula used:
If f(x) becomes arbitrarily close to a unique number L as approaches c fromeither side, then the limit of f(x) as approaches c is L. This is written as
Calculation:
We have
Substituting directly,
This limit cannot be evaluated using direct substitution.
Value of
Conclusion:
Thus,this limit cannot be evaluated using direct substitution. Value of
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