I don't think there is a "limit". When it comes to women and heels, it is every lady's prerogative to wear them as she pleases, no matter how tall she is. This is one of her inalienable rights. The only limit is the one the woman puts on herself according to her own comfort level in tall heels.
I am a little bit over 176 cm (almost 5'10"). I enjoy wearing heels almost everyday. I like to wear 8 cm (3 inch +) heels quite frequently, and I do not feel strange for it, even though I am quite tall without them.
My husband is the same height as me, and I enjoy wearing tall heels. He likes the way I look in heels and so do I, even though I may be more than 8 cm taller than him. Yes, it catches people's eyes, but the attention that we get is never bad.
I don't know how tall you are, but I hope that helps.