CoreKeyLimits
Continuity & Discontinuity
Overview
A function is continuous at a point if its limit equals its value there. Discontinuities break this condition in different ways.
Key Concepts
1
Continuous at a: lim_{x→a} f(x) = f(a)
2
Types of discontinuity: removable, jump, infinite
3
Intermediate Value Theorem applies to continuous functions
See it in action
Use the interactive visualizer to explore this concept with real graphs.