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.
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