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