Concept explainers
To check: Whether the given statement is true or false.
Answer to Problem 54E
The given statement is False.
Explanation of Solution
Given information: The statement is “A continuous function cannot have a point of discontinuity”.
According to the definition a function is said to be continuous if it is continuous at all the values of
If function is continuous at all points in the domain, then the function does not have any point of discontinuity in the domain and the function is not defined outside its domain.
Therefore, a continuous function cannot have a point of discontinuity in its domain.
Chapter 2 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
Additional Math Textbook Solutions
Calculus & Its Applications (14th Edition)
Precalculus
University Calculus: Early Transcendentals (3rd Edition)
Precalculus (10th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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