The function y-=f(u)=1"/"(1+1"/"u) can be rewritten as f(u)=u"/"(u+1).
From the rewritten form, it's clear that u!=-1 as this would cause the denominator to be equal to zero. From the original form, we can see that a horizontal asymptote will occur at y=1. This is because as urarroo, yrarr1.