Where continuity can fail
Exercise and reference answers
- Questions
- Question
- Continuity at a point needs the function to be
- Choices
- increasing there
- defined there
- linear there
- Correct choice
- defined there
- Question
- It also needs the limit at that point to
- Choices
- be zero
- be infinite
- exist
- Correct choice
- exist
- Question
- And it needs the limit to equal the
- Choices
- value there
- derivative there
- slope
- Correct choice
- value there
Explanation
Three things must line up for continuity at a point. Source: syllabus Maths, Ch 5 Continuity and Differentiability.
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