Three of these are wrong. Find the one that holds.

Exercise and reference answers

Questions

1. Question

   Three of these statements about continuity are false.

   Choices

   1. Item

      Differentiable implies continuous

      Correct

      Yes

   2. Explanation

      The converse is explicitly not true.

      Item

      Continuous implies differentiable

   3. Explanation

      Not where the denominator is zero.

      Item

      Quotients are always continuous

   4. Explanation

      It compares the limit with the value.

      Item

      Continuity compares two derivatives

Explanation