Continuity: Quiz

Problem 6

Where is tan(x) continuous? Choose the best answer.

  1. 0 < x < 2π
  2. 0 < x < π/2
  3. –π/2 < x < π/2
  4. –∞ < x < ∞

Answers, problem 6

From the above graph of tan(x), we can see the vertical asymptotes at –π/2 and π/2, where the graph is discontinuous. Therefore the answer is:

  1. –π/2 < x < π/2

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