Continuity
Definition of continuity at a point
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Checking continuity: step-by-step
Types of discontinuities
Continuity of common functions
Continuity on an interval
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Building continuous functions
Worked example: piecewise continuity
Making a function continuous
Removing a discontinuity
AP exam tips
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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