CoreLimits

One-Sided Limits

Overview

Sometimes a function approaches different values from the left and right. One-sided limits capture each direction separately.

Key Concepts

1

Left-hand limit: lim_{x→a⁻} f(x)

2

Right-hand limit: lim_{x→a⁺} f(x)

3

A two-sided limit exists only if both sides agree

See it in action

Use the interactive visualizer to explore this concept with real graphs.

Open Limits Explorer