MA101: Single-Variable Calculus I

5.5: Asymptotes and Other Things to Look For

• Whitman College: David Guichard's "Calculus, Chapter 5: Curve Sketching, Section 5.5: Asymptotes and Other Things to Look For" URL

  Read Section 5.5 (pages 111 and 112). In this reading, you will see how limits can be used to find any asymptotes the graph of a function may have.
  

• Massachusetts Institute of Technology: David Jerison's "Max-Min" Page

  Watch this lecture until 45:00. The majority of the video lecture is about curve sketching, despite the title of the video.
  

• Whitman College: David Guichard's "Calculus, Chapter 5: Curve Sketching, Exercises 5.5, Problems 1-5, 15-19" URL

  Work through problems 1-5 and 15-19 for Exercise 5.5. When you are done, graph the curves using Wolfram Alpha to check your answers.