AP Calculus AB · Unit 1: Limits and Continuity
1.5 Determining Limits Using Algebraic Properties of Limits
In short
You are expected to determine limits of functions using limit theorems. This includes finding one-sided limits analytically or graphically, and applying limit theorems to sums, differences, products, quotients, and composite functions. The focus is strictly on the algebraic properties of limits as outlined in the essential knowledge statements.
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Can you do these?
- I can determine one-sided limits analytically or graphically.
How is Determining Limits Using Algebraic Properties of Limits tested on the exam?
This topic is assessed by having you apply appropriate mathematical rules or procedures, with and without technology (Suggested Skill 1.E). You must be able to analytically and graphically determine one-sided limits and use limit theorems for various function combinations.
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Determining Limits Using Algebraic Properties of Limits: common questions
What do you need to know about Determining Limits Using Algebraic Properties of Limits for AP Calculus AB?
You are expected to determine limits of functions using limit theorems. This includes finding one-sided limits analytically or graphically, and applying limit theorems to sums, differences, products, quotients, and composite functions. The focus is strictly on the algebraic properties of limits as outlined in the essential knowledge statements.
How is Determining Limits Using Algebraic Properties of Limits tested on the AP Calculus AB exam?
This topic is assessed by having you apply appropriate mathematical rules or procedures, with and without technology (Suggested Skill 1.E). You must be able to analytically and graphically determine one-sided limits and use limit theorems for various function combinations.
How do I know I have mastered Determining Limits Using Algebraic Properties of Limits?
Check you can do each of these: determine one-sided limits analytically or graphically.
Where does Determining Limits Using Algebraic Properties of Limits fit in AP Calculus AB?
Determining Limits Using Algebraic Properties of Limits is topic 1.5 in Unit 1: Limits and Continuity of AP Calculus AB.
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