AP Calculus AB · Unit 1: Limits and Continuity
1.2 Defining Limits and Using Limit Notation
In short
You must understand the informal definition of a limit: the limit of f(x) as x approaches c is a real number R if f(x) can be made arbitrarily close to R by taking x sufficiently close to c (but not equal to c).
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What else do you need to know about Defining Limits and Using Limit Notation?
You must be able to express and interpret limits in multiple ways, including graphically, numerically, and analytically. The formal epsilon-delta definition of a limit is explicitly excluded and will not be assessed on the AP Exam.
How is Defining Limits and Using Limit Notation tested on the exam?
You will be expected to evaluate or estimate limits presented graphically, numerically, analytically, or verbally. To avoid missed opportunities to earn points on the AP Exam, you need opportunities to consistently practice using correct mathematical notation and presenting set-ups and appropriately rounded answers when using a calculator.
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Defining Limits and Using Limit Notation: common questions
What do you need to know about Defining Limits and Using Limit Notation for AP Calculus AB?
You must understand the informal definition of a limit: the limit of f(x) as x approaches c is a real number R if f(x) can be made arbitrarily close to R by taking x sufficiently close to c (but not equal to c).
How is Defining Limits and Using Limit Notation tested on the AP Calculus AB exam?
You will be expected to evaluate or estimate limits presented graphically, numerically, analytically, or verbally. To avoid missed opportunities to earn points on the AP Exam, you need opportunities to consistently practice using correct mathematical notation and presenting set-ups and appropriately rounded answers when using a calculator.
Where does Defining Limits and Using Limit Notation fit in AP Calculus AB?
Defining Limits and Using Limit Notation is topic 1.2 in Unit 1: Limits and Continuity of AP Calculus AB.
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