To Provide: The formula for the extended function that is continuous at the indicated point.
Answer to Problem 30E
The extended function is
Explanation of Solution
Given:
The function:
Point:
Calculation:
Given that the function
The denominators factors are:
In order to remove the discontinuity at
Now, factor
Consider the form
whose sum is
Thus, the numerator of the function
The modified function is:
Now, replace again
Thus, the extended function is
The extended function is a polynomial. Generally, polynomial functions are
Continuous everywhere.
Chapter 1 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning