Limits at Infinity: Quiz

Problem 5

Find the following limit.

  1. –∞
  2. 0
  3. 1
  4. ∞

Answers, problem 5

  1. We know that the maximum value of cos(x) is 1 and therefore the maximum value of cos(x)2 is also 1. The numerator increases without bound while the denominator does not exceed 1, and the limit tends to infinity. Therefore the answer is ∞.

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