# Limits and continuity

Lessons

Limits introductionLimits from tablesLimits from graphsOne-sided limitsFormal definition of limits (epsilon-delta)Review: Limits basicsContinuity at a pointLimits of combined and composite functionsContinuous functionsIntermediate value theoremReview: ContinuityLimits from equations (direct substitution)Limits from equations (factoring & rationalizing)Squeeze theoremLimits of trigonometric functionsLimits of piecewise functionsRemovable discontinuitiesReview: Limits from equationsUnbounded limits (vertical asymptotes)Limits at infinity (horizontal asymptotes)Review: Infinite limitsPractice

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Practice

Limits from tables

4 questions

Practice

Practice

Limits basics challenge

7 questions

Practice

Learn

Practice

Continuity at a point

4 questions

Practice

Practice

Limits of combined functions

4 questions

Practice

Limits of composite functions

4 questions

Practice

Practice

Continuity and common functions

4 questions

Practice

Practice

Continuity challenge

7 questions

Practice

Practice

Direct substitution

4 questions

Practice

Direct substitution with limits that don't exist

4 questions

Practice

Practice

Limits by factoring

4 questions

Practice

Rational function points of discontinuity

4 questions

Practice

Limits using conjugates

4 questions

Practice

Learn

Practice

Squeeze theorem

4 questions

Practice

Practice

Limits using trig identities

4 questions

Practice

Practice

Removable discontinuities

4 questions

Practice

Practice

Limits from equations challenge

7 questions

Practice

Learn

Practice

Limits at infinity of rational functions

7 questions

Practice

Limits at infinity of rational functions: radicals

4 questions

Practice

Limits at infinity of rational functions: trig

4 questions

Practice

Practice

Infinite limits challenge

7 questions

Practice

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.