# Limits and continuity

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Lessons

Limits introductionLimits from tablesLimits from graphsOne-sided limitsFormal definition of limits (epsilon-delta)Review: Limits basicsContinuity at a pointQuiz 1Limits of combined and composite functionsContinuous functionsIntermediate value theoremQuiz 2Review: ContinuityLimits from equations (direct substitution)Quiz 3Limits from equations (factoring & rationalizing)Squeeze theoremQuiz 4Limits of trigonometric functionsLimits of piecewise functionsRemovable discontinuitiesQuiz 5Review: Limits from equationsUnbounded limits (vertical asymptotes)Quiz 6Limits at infinity (horizontal asymptotes)Review: Infinite limitsUnit testPractice

Quizzes

Unit test

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Limits from tables

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Limits basics challenge

7 questions

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Continuity challenge

7 questions

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Limits by factoring

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Rational function points of discontinuity

4 questions

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Limits using conjugates

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Squeeze theorem

4 questions

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Limits using trig identities

4 questions

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Removable discontinuities

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Limits from equations challenge

7 questions

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Limits at infinity of rational functions: trig

4 questions

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Infinite limits challenge

7 questions

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**Limits and continuity**with these 15 questions.About this unit

Reach infinity within a few seconds! Limits are the most fundamental ingredient of calculus. Learn how they are defined, how they are found (even under extreme conditions!), and how they relate to continuous functions.