MHB What is the definition of a negative infinity limit?

[RubroCP]

I have the following definition:
$$\lim_{x\to p^+}f(x)=+\infty\iff \forall\,\,\varepsilon>0,\,\exists\,\,\delta>0,\,\,\text{with}\,\,p+\delta< b: p< x < p+\delta \implies f(x) > \varepsilon$$
From this, how can I get the definition of
$$\lim_{x\to p^-}=-\infty? $$

 

[Euge]

We have $\lim\limits_{x\to p^{-}} f(x) = -\infty$ if to every $\epsilon > 0$ there corresponds a $\delta > 0$ such that for all $x$, $p - \delta < x < p$ implies $f(x) < -\epsilon$.