IntroBridge →Foundations
Getting Close — Limits Preview
Overview
What does it mean to approach a value without reaching it? This question defines limits — and limits define derivatives and integrals.
Key Concepts
1
"x → 2" means: x gets arbitrarily close to 2, but need not equal 2
2
Approach from the left: x → 2⁻ (values like 1.9, 1.99, 1.999…)
3
Approach from the right: x → 2⁺ (values like 2.1, 2.01, 2.001…)
4
If both sides agree on the same value, the limit exists
See it in action
Use the interactive visualizer to explore this concept with real graphs.