The more diluted it is, the more to the right the dissociation is shifted, so concentration of H+ becomes more and more higher than the analytical concentration of the acid. In the limit for infinitely diluted H4EDTA
[tex][H^+] = 4 \times C_{H_$EDTA}[/tex]
If the concentration of H+ is comparable with the acid concentration, solution can't be too diluted, which in turn means it must be acidic.