  In this paper we calculate the collection of limit functions obtained by
applying an extension of Zalcman's Lemma, due to X. C. Pang, to the non-normal
family $\left\{f(nz):n\in\mathbb{N}\right\}$ in $\mathbb{C}$, where $f=Re^P$.
Here $R$ and $P$ are an arbitrary rational function and a polynomial,
respectively, where $P$ is a non-constant polnomial.
