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Which of the following statements, if true, can be used to conclude that f(2)f(2) exists? limx2f(x)limx2f(x) exists. ff is continuous at x=2x=2. ff is differentiable

Which of the following statements, if true, can be used to conclude that f(2)f(2) exists?

  1. limx2f(x)limx2f(x) exists.
  2. ff is continuous at x=2x=2.
  3. ff is differentiable at x=2x=2.

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