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Continuity

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Multiple Choice

Which of the following statements is true about the continuity of a function at a point?

  1. A function is continuous at a point if its limit at that point exists.
  2. A function is continuous at a point if its left-hand limit and right-hand limit at that point are equal.
  3. A function is continuous at a point if its derivative exists at that point.
  4. A function is continuous at a point if its graph has no breaks or jumps at that point.
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