5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 7, 2018 9:52

CHAPTER

6

Big Idea 1: Limits

Limits and Continuity

IN THIS CHAPTER

Summary:On the AP Calculus AB exam, you will be tested on your ability to find the

limit of a function. In this chapter, you will be shown how to solve several types of

limit problems, which include finding the limit of a function asxapproaches a specific

value, finding the limit of a function asxapproaches infinity, one-sided limits, infinite

limits, and limits involving sine and cosine. You will also learn how to apply the

concepts of limits to finding vertical and horizontal asymptotes as well as determining

the continuity of a function.

Key Ideas

KEY IDEA !Definition of the limit of a function

!Properties of limits

!Evaluating limits asxapproaches a specific value

!Evaluating limits asxapproaches±infinity

!One-sided limits

!Limits involving infinities

!Limits involving sine and cosine

!Vertical and horizontal asymptotes

!Continuity

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