The points of discontinuity of the function. Identify the type of
Discontinuity.
Answer to Problem 2E
The function has infinite discontinuity at
Explanation of Solution
Given:
Calculation:
The given equation
continuous everywhere. Thus, the function is continuous.
Find the discontinuity point of the function:
Now, Set the denominator in
Consider the form
Find a pair of integers whose product is
In this case, whose product is
Write the factored form using these integers:
Find the value of
Thus, the function has infinite discontinuity at
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
- 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