Limits and Continuity
by Anonymous
Approach a point from both sides to find limits, check the three conditions for continuity, and follow x without bound to reveal asymptotes.
Ready to remix — hit the 🍴 Remix button below. You'll sign up first, then this app is copied into your workspace.
About this app
Limits and Continuity is an interactive mathematics learning app for exploring how functions behave near a point and as x grows without bound. It uses animated graphs and guided missions to compare left- and right-hand limits, check the three conditions for continuity, and observe horizontal asymptotic behavior.
Use cases
- High school students studying limits and continuity
- Teachers introducing calculus concepts visually
- Learners practicing one-sided limits and discontinuities
- Students reviewing horizontal asymptotes and behavior at infinity
Features
- Interactive graph exploration from the left and right of x = 2
- Examples of holes, jumps, continuous functions, and blow-ups
- Controls for changing the function, approach distance, point value, and whether a value is defined
- Visual checks of the three conditions for continuity
- Large-x investigations of functions approaching 2, approaching 0, or growing without bound
- Guided missions with feedback, reset, and next-step controls