Def (\(\epsilon\)-neighborhood):
(pg 88)
For all \( a \in \mathbb{R} \, , \, \epsilon > 0 \), the \(\epsilon\)-neighborhood of \(a\) is the set:
\( V_\epsilon(a) = \{ x \in \mathbb{R} : | x - a | < \epsilon \} \)
Thus, we can think of an epsilon neighborhood as an open interval. Specifically: \(V_\epsilon(a) = (a - \epsilon , a + \epsilon) \).
