Tap every requirement for continuity at a point
Exercise and reference answers
- Questions
- Items
- Text
- The function is defined there
- Matches the category
- Yes
- Text
- The limit exists there
- Matches the category
- Yes
- Text
- The limit equals the value
- Matches the category
- Yes
- Text
- The derivative exists there
- Matches the category
- No
- Text
- The function is increasing there
- Matches the category
- No
- Category
- Required for continuity at a point
Explanation
Three conditions, all needed. Source: syllabus Maths, Ch 5 Continuity and Differentiability.
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