1. Continuity proof

Question

Show that every function $f: \mathbb{Z} \to \mathbb{R}$ is continuous.

Any ideas?

Thanks.

2. Originally Posted by WWTL@WHL
Question

Show that every function $f: \mathbb{Z} \to \mathbb{R}$ is continuous.

Any ideas?

Thanks.
For every $\epsilon > 0$ let $\delta = \tfrac{1}{2}$ then the $\delta$-neighorhood of $n\in \mathbb{Z}$ contains only itself in $\mathbb{Z}$.

3. And done.

Excellent. Thank you, PH.