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Unit: Limits and continuity

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.

Limits introduction

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Limits from tables

Learn

Practice

Limits from graphs

Learn

Practice

One-sided limits

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Practice

Formal definition of limits (epsilon-delta)

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Review: Limits basics

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Practice

Continuity at a point

Learn

Practice

Limits of combined and composite functions

Learn

Practice

Continuous functions

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Practice

Intermediate value theorem

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Practice

Review: Continuity

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Practice

Limits from equations (direct substitution)

Learn

Practice

Limits from equations (factoring & rationalizing)

Learn

Practice

Squeeze theorem

Learn

Practice

Limits of trigonometric functions

Learn

Practice

Limits of piecewise functions

Learn

Practice

Removable discontinuities

Learn

Practice

Review: Limits from equations

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Practice

Unbounded limits (vertical asymptotes)

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Practice

Limits at infinity (horizontal asymptotes)

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Practice

Review: Infinite limits

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Practice