Question

Question The graph of f(x) is shown below. Which of the following statements are true? Select the correct answer below: f(x) is not continuous at x = 3 because it is not defined at x = 3. f(3) exists, but f(x) is not continuous at x = 3 because lim f(x) does not exist. x?3 f(3) and lim f(x) both exist, but f(x) is not continuous at x = 3 because lim f(x) ? f(3). x?3 x?3 f(x) is continuous at x = 3.

          Question
The graph of f(x) is shown below. Which of the following statements are true?
Select the correct answer below:
f(x) is not continuous at x = 3 because it is not defined at x = 3.
f(3) exists, but f(x) is not continuous at x = 3 because lim f(x) does not exist.
x?3
f(3) and lim f(x) both exist, but f(x) is not continuous at x = 3 because lim f(x) ? f(3).
x?3
x?3
f(x) is continuous at x = 3.

Question
The graph of f(x) is shown below. Which of the following statements are true?
Select the correct answer below:
f(x) is not continuous at x = 3 because it is not defined at x = 3.
f(3) exists, but f(x) is not continuous at x = 3 because lim f(x) does not exist.
x?3
f(3) and lim f(x) both exist, but f(x) is not continuous at x = 3 because lim f(x) ? f(3).
x?3
x?3
f(x) is continuous at x = 3.

Added by Lisa H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Tim Thornhill

08/30/2023

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The graph of f(x) shown below. Which of the following statements are true? Select the correct answer below: f(x) is not continuous at x = 3 because it is not defined at x = 3. f(3) exists, but f(x) is not continuous at x = 3 because limf(x) does not exist. f(3) and limf(x) both exist, but f(x) is not continuous at x = 3 because limf(x) ≠ f(3). f(x) is continuous at x = 3.