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Questions and Answers

Which of the following statements is true about limit and continuity?

  • A function can be continuous but not have a limit
  • Limits and continuity are two unrelated concepts
  • Limits can exist even if a function is not defined at that point (correct)
  • Limits are only defined for continuous functions

    • What does it mean for a function to be differentiable?

  • The function has a limit at every point
  • The function has a derivative at every point in its domain (correct)
  • The function has a tangent line at every point
  • The function is continuous

    • Which of the following is a common misconception about differentiation?

  • Differentiation can only be applied to polynomial functions
  • Differentiation always results in a positive value
  • Differentiation is the same as integration (correct)
  • Differentiation can only be applied to continuous functions

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