Continuity in Calculus

Definition and Concept

Welcome to our calculus resources! Continuity is a fundamental concept in calculus that describes how functions behave in a neighborhood of a point.

A function f(x) is continuous at a point c if the following three conditions are satisfied:

1. The function f(c) is defined.
2. The limit of f(x) as x approaches c exists.
3. The limit of f(x) as x approaches c is equal to f(c).

Explore more about continuity and practice worksheets:

• Continuity Examples
• Limit Worksheets
• Derivatives Worksheets

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