Hi, thanks in advance for any attempts to help me with this question I've been stuck on for a while now. The function is as follows;

f(x) = (vKx)/(K+(v-1)x)

Where x is the population in a given generation, f(x) is the population in the next, and v>1 and K>0 are constants. Because x represents a population, the domain is restricted to x≥0. As aforementioned I'm having difficulty finding the horizontal asymptote.

I assume that one should start by setting a limit as x approaches infinity, but I'm unsure where to take it from there.