was told told that I had undetectable AMH (< 0.17 ng/mL) at age 33. I have since had two babies. The second one was conceived at age 38.
The thing about low AMH (and/or high FSH) is that your chances of conceiving for each natural cycle are probably on the low side (10%). Using statistics, you can calculate that, with these probabilities, it will take an average of about 10 medicated cycles to get your first successful pregnancy (1/(1/10) = 10; geometric mean). It could take even more!
In my case, that meant 8 medicated IUI cycles for the first success and 11 for the second. I also did a round of IVF the second time that was a complete bust do to ZERO follicles. The point is that you are probably going to have to try a whole bunch of medicated cycles if you want it to happen.
Don't let any doctor lie to you and say that your chances fall to zero following three failed medicated IUI rounds. These doctors unfortunately don't understand basic probability and are probably just trying to get you to move on to expensive IVF.
Also, make sure that your thyroid is okay and that you don't have a progesterone/estrogen deficiency as well. I insisted on getting progesterone shots the second time around to correct a short luteal phase. These things must be fixed!
By the way, I used Clomid and an IUI for my first pregnancy and Menopur and IUI for the second. IVF likely failed due to overstimulation. In retrospect, it might have worked better with much lower doses, but my insurance would not cover IVF.