# Limit at infinityHTML5

## Summary

This simulation illustrates the convergence and the divergence of a function at infinity.

Click and slide the horizontal lines.

## Learning goals

• To understand the notion of finite and infinite limits at infinity.
• To know how to state the convergence and/or divergence of a function at infinity.

Consider a function f defined on a subset of real numbers.

f admits a finite limit ℓ at +∞ means that there is a real ε and real A such that the open interval containing ℓ, ] ℓ - ε, ℓ +…