Explanation Given information: f ( x ) = ln | x − 4 | Calculation: The function is given in the question as follows, f ( x ) = ln | x − 4 | Putting ( x − 4 ) ≤ 0 x − 4 ≤ 0 Adding 4 both the sides ⇒ x − 4 + 4 ≥ 0 + 4 ⇒ x ≥ 4 The equation is undefined where the argument of a logarithm is less than or equal to 0. So, the interval of points of discontinuity is [ 4 , ∞ ) . Now, Left hand limit, lim x → 0 + ln | x − 4 | = lim h → 0 ln | ( 0 + h ) − 4

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 2.4, Problem 38E

To determine

The points of discontinuity, to state the type of discontinuity and whether the function is left or right continuous.

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Chapter 2.4, Problem 37E

Chapter 2.4, Problem 39E

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Chapter 2 Solutions

Calculus: Early Transcendentals

Ch. 2.1 - Prob. 1PQ Ch. 2.1 - Prob. 2PQ Ch. 2.1 - Prob. 3PQ Ch. 2.1 - Prob. 4PQ Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E

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The points of discontinuity, to state the type of discontinuity and whether the function is left or right continuous.

Solution Summary: The author explains the points of discontinuity and whether the function is left or right continuous. The equation is undefined where the argument of a logarithm is less than or equal to 0.

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The points of discontinuity, to state the type of discontinuity and whether the function is left or right continuous.

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Chapter 2 Solutions