Continuity

★★★☆☆High School

📖Definition

A function is continuous at a point if the limit equals the function value at that point.

📐Formulas

lim_x → a f(x) = f(a)

Definition of continuity

✏️Examples

예제 1★★★☆☆

Is f(x) = |x|/x continuous at x=0?

Applications

Intermediate Value Theorem

Key property of continuous functions

Extreme Value Theorem

Max/min existence on closed intervals

🔗Related Documents

Prerequisites

Next Topics

Applications

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