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The function f(x) = { x^2, x < 0; 0, x = 0; x + 1, x > 0 } is:

Practice Questions

1 question
Q1
The function f(x) = { x^2, x < 0; 0, x = 0; x + 1, x > 0 } is:
  1. Continuous
  2. Not continuous
  3. Continuous from the left
  4. Continuous from the right

Questions & Step-by-step Solutions

1 item
Q
Q: The function f(x) = { x^2, x < 0; 0, x = 0; x + 1, x > 0 } is:
Solution: The left limit as x approaches 0 is 0, but the right limit is 1. Hence, it is not continuous at x = 0.
Steps: 0

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