A function is continuous at a point when its limit there equals its actual function value.
What Is Continuity?
A function is continuous at a point when its limit there equals its actual function value.
Examples of Continuity
1
f(x)=x² is continuous for every real x.Formula and Key Points
Formula / rule
lim(x→a)f(x)=f(a)
- Know the definition and standard notation for Continuity.
- Be able to recognise or compute continuity in a small example.
- Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
Why This Matters in Computer Science
Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.
Related Math Terms
Continuity: Frequently Asked Questions
What is Continuity?
A function is continuous at a point when its limit there equals its actual function value.
Why is Continuity useful in computer science?
Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.