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Which of the following functions is continuous at x = 2? f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 }

Practice Questions

1 question
Q1
Which of the following functions is continuous at x = 2? f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 }
  1. Continuous
  2. Not continuous
  3. Depends on k
  4. None of the above

Questions & Step-by-step Solutions

1 item
Q
Q: Which of the following functions is continuous at x = 2? f(x) = { x^2, x < 2; 4, x = 2; 2x, x > 2 }
Solution: To check continuity at x = 2, we find the left limit (4), right limit (4), and f(2) (4). All are equal, so f(x) is continuous.
Steps: 0

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