Chapter 5.4

Notes

Linguistic Mapping Exercises

Knowledge Checks

  1. Suppose that \((\theta_n)\) is a null sequence with only nonzero terms. Calculate \[\lim_{n\to\infty} \tfrac{\sin(7\theta_n)}{5\theta_n}.\]
  2. Suppose that \((\theta_n)\) is a null sequence with only nonzero terms. Calculate \[\lim_{n\to\infty} \tfrac{5-5\cos(2\theta_n)}{\theta_n}.\]
  3. Suppose that \((\theta_n)\) is a null sequence with only nonzero terms. Calculate \[\lim_{n\to\infty} \tfrac{\tan(5\theta_n)}{\theta_n}.\]

Practice Problems

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