Algebraic Properties of Limits
Limit laws
Sum and difference rules
Constant multiple rule
Product rule
Quotient rule
Power rule
Root rule
Limit of a constant
Limit of the identity function
Summary table of limit laws
Applying multiple laws in sequence
Direct substitution property
Composite function limit
Worked example with composition
Decision process
When limit laws fail
Common AP exam patterns
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Vocabulary
Unit 1 topics
Unit 1 overview11.1 Introducing Calculus: Can Change Occur at an Instant?21.2 Defining Limits and Using Limit Notation31.3 Estimating Limit Values from Graphs41.4 Estimating Limit Values from Tables51.5 Determining Limits Using Algebraic Properties61.6 Determining Limits Using Algebraic Manipulation71.7 Selecting Procedures for Determining Limits81.8 Determining Limits Using the Squeeze Theorem91.9 Connecting Multiple Representations of Limits and Continuity101.10 Types of Discontinuities, Infinite Limits, and the IVT