# The epsilon-delta game and the chess

## TL;DR

This paper introduces a novel perspective on limits in calculus by relating the epsilon-delta definition to the concept of checkmate in chess, extending the idea from sequences to functions.

## Contribution

It presents a new analogy between epsilon-delta limits and chess checkmate, offering a creative approach to understanding limits in mathematics.

## Key findings

- New analogy between epsilon-delta limits and checkmate in chess
- Extension of the checkmate analogy from sequences to functions
- Provides a fresh perspective on teaching limits in calculus

## Abstract

The limit of a sequence by the definition with $\varepsilon$ is introduced by the notion of checkmate in two moves. The idea is also extended to define the limit of a function with $\varepsilon$ and $\delta$.