Understanding Limits in Calculus
By Cesare Peli.
What does it mean to “approach” a number?
This page offers an intuitive introduction to the concept of limit, a central idea in calculus.
We avoid the technicalities of epsilon-delta definitions and instead focus on:
- Graphs that show how functions behave near a point
- Simple, concrete examples
- Visual intuition
The lesson distinguishes the value of a function from its limit, compares one-sided limits, and introduces vertical and horizontal asymptotes.
Further Limits Topics
Once the intuitive meaning of a limit is clear, you can move on to fundamental limits, notable limits, indeterminate forms, and more advanced techniques.