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