# Contents

## Statetement

Given a polynomial $P \in \mathbb{R}[X]$ over the real numbers, we may regard it as a function $P \colon \mathbb{R} \longrightarrow \mathbb{R}$. If here $\mathbb{R}$ is regarded as a Euclidean space (equipped with its metric topology), then this is a continuous function.

## References

The proof using epsilontic analysis is spelled out for instance in

• Kyle Miller, Polynomials are continuous functions, 2014 (pdf)

Last revised on May 7, 2017 at 10:18:42. See the history of this page for a list of all contributions to it.