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Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) = x²-1 X- a = 1 The discontinuity is removable. The discontinuity is not removable. g(x) =

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) = x²-1 X- a = 1 The discontinuity is removable. The discontinuity is not removable. g(x) =

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) -X-1 g(x) = (b) f(x): = The discontinuity is removable. The discontinuity is not removable. "I g(x) = a = 1 x³ – x² - 6x x - 3 The discontinuity is removable. The discontinuity is not removable. g(x) = a = 3 (c) f(x) = [[sin(x)], a = π (Recall that The discontinuity is removable. The discontinuity is not removable. [h(x)] means the largest integer that is less than or equal to h(x).)
Transcribed Image Text:Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) -X-1 g(x) = (b) f(x): = The discontinuity is removable. The discontinuity is not removable. "I g(x) = a = 1 x³ – x² - 6x x - 3 The discontinuity is removable. The discontinuity is not removable. g(x) = a = 3 (c) f(x) = [[sin(x)], a = π (Recall that The discontinuity is removable. The discontinuity is not removable. [h(x)] means the largest integer that is less than or equal to h(x).)
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