Interactive Demo
Epsilon-Delta Limit Visualizer
Epsilon-Delta Limit Visualizer is a free, interactive learning demo from the AP/College Calculus AB course on Lykke. It helps you build intuition for Limits (Graphical and Algebraic), Continuity at a Point, Squeeze Theorem, Intermediate Value Theorem (IVT). Play with it directly in your browser — it features 3 sliders and a live visual canvas. This demo lives in the “Limits and Continuity Foundations” section of the course.

How to use this demo
- Drag the sliders to change the inputs and watch the visualization update in real time.
- Experiment freely — there's nothing to break, and every change is reversible.
What you'll explore
- Limits (Graphical and Algebraic)
- Continuity at a Point
- Squeeze Theorem
- Intermediate Value Theorem (IVT)
- Infinite Limits and Asymptotes
Frequently asked questions
What does the Epsilon-Delta Limit Visualizer demo do?
Epsilon-Delta Limit Visualizer Adjust ε to set the target range, then find a δ that keeps the function inside it. Epsilon-Delta Limit Visualizer lets you explore this hands-on instead of only reading about it.
What AP/College Calculus AB concept does Epsilon-Delta Limit Visualizer teach?
Introduction to the concept of limits, defining continuity, and exploring fundamental theorems. It focuses on Limits (Graphical and Algebraic), Continuity at a Point, Squeeze Theorem, Intermediate Value Theorem (IVT), Infinite Limits and Asymptotes from the “Limits and Continuity Foundations” section.
What can I control in Epsilon-Delta Limit Visualizer?
The sliders change the key inputs. Every change updates the visualization in real time, so you can see exactly how each variable affects the outcome.
How does Epsilon-Delta Limit Visualizer fit into the AP/College Calculus AB course?
The Client Challenge course is a comprehensive AP®/College Calculus AB curriculum designed to master the foundational principles of calculus. It covers ten core units ranging from limits and continuity to advanced appli… This demo is the interactive piece for the “Limits and Continuity Foundations” section. Open the full AP/College Calculus AB course wiki at https://www.getlykke.com/explore/public/apcollege-calculus-ab-32566f4a-f483-4cb5-98bd-98e5a44b121c for notes, flashcards, quizzes and the other demos.
What will I understand better after using Epsilon-Delta Limit Visualizer?
You'll build intuition for Limits (Graphical and Algebraic), Continuity at a Point, Squeeze Theorem, Intermediate Value Theorem (IVT), Infinite Limits and Asymptotes — and, crucially, see how they behave when you change the inputs, which is hard to get from a textbook or lecture on AP/College Calculus AB alone.
From the AP/College Calculus AB course
This interactive demo is part of the Limits and Continuity Foundations section. Explore the full AP/College Calculus AB course wiki on Lykke — with notes, flashcards, quizzes and more interactive demos.
Open the AP/College Calculus AB course →