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Tap every operation that preserves continuity

Exercise and reference answers

Questions
  1. Items
    1. Text
      Sum of two continuous functions
      Matches the category
      Yes
    2. Text
      Difference of two continuous functions
      Matches the category
      Yes
    3. Text
      Product of two continuous functions
      Matches the category
      Yes
    4. Text
      Quotient, where the denominator is not zero
      Matches the category
      Yes
    5. Text
      Quotient where the denominator vanishes
      Matches the category
      No
    Category
    Preserves continuity

Explanation

Sum, difference, product and quotient, the last with a condition. Source: syllabus Maths, Ch 5 Continuity and Differentiability.
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