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Where continuity can fail

Exercise and reference answers

Questions
  1. Question
    Continuity at a point needs the function to be
    Choices
    1. increasing there
    2. defined there
    3. linear there
    Correct choice
    defined there
  2. Question
    It also needs the limit at that point to
    Choices
    1. be zero
    2. be infinite
    3. exist
    Correct choice
    exist
  3. Question
    And it needs the limit to equal the
    Choices
    1. value there
    2. derivative there
    3. 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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