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Unit: Limits and continuity

Limits introduction

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Limits from tables

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Practice

Limits from graphs

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Practice

One-sided limits

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Formal definition of limits (epsilon-delta)

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Review: Limits basics

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Continuity at a point

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Limits of combined and composite functions

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Continuous functions

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Intermediate value theorem

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Review: Continuity

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Limits from equations (direct substitution)

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Practice

Limits from equations (factoring & rationalizing)

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Squeeze theorem

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Practice

Limits of trigonometric functions

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Limits of piecewise functions

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Removable discontinuities

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Review: Limits from equations

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Unbounded limits (vertical asymptotes)

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Limits at infinity (horizontal asymptotes)

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Review: Infinite limits

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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.