Consider the function f(x) = In (|x – 5|). Where are the discontinuities located? (Express numbers in exact form. Use symbolic notation and fractions where needed. If there are multiple discontinuities, give your answer in the form of a comma-separated list.) f is discontinuous at x = Identify the type or types of discontinuity. infinite jump both jump and removable removable both removable and infinite O O

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Consider the function f(x) = In (|x – 5|). Where are the discontinuities located?
(Express numbers in exact form. Use symbolic notation and fractions where needed. If there are multiple discontinuities, give
your answer in the form of a comma-separated list.)
f is discontinuous at x =
Identify the type or types of discontinuity.
infinite
jump
both jump and removable
removable
both removable and infinite
Transcribed Image Text:Consider the function f(x) = In (|x – 5|). Where are the discontinuities located? (Express numbers in exact form. Use symbolic notation and fractions where needed. If there are multiple discontinuities, give your answer in the form of a comma-separated list.) f is discontinuous at x = Identify the type or types of discontinuity. infinite jump both jump and removable removable both removable and infinite
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