  This paper investigates the asymptotic behavior of the extremes of a sequence
of generalized Oppenheim random variables. Particularly, we establish
conditions under which some normalized extremes of sequences arising from
Oppenheim expansions belong to the maximum domain of attraction of the Frechet
distribution. Additionally, we identify conditions under which the maxima and
minima of Oppenheim random variables demonstrate some kind of asymptotic
independence. Finally, we prove an Extreme Types theorem for Oppenheim
expansions with unknown dependent structure.
