Concepts And Applications Of Continuity And Discontinuity

Abstract

Continuity and discontinuity are essential concepts in calculus that describe the behavior of functions. A function is continuous when it has no breaks or gaps, while discontinuity occurs when interruptions such as jumps, holes, or infinite values appear. This project examines the definitions and types of continuity and discontinuity using limits and graphical analysis. It also explores real-life applications, where continuity models smooth changes like motion and temperature, and discontinuity represents sudden changes such as signal shifts or market fluctuations.

Research Team