Limitations are necessary, in my opinion. If a woman does not choose to get an abortion prior to the age of viability, then abortion should not be an option. Viability for a fetus is between 24 and 26 weeks. Honestly, I think that the choice to end a pregnancy should be made before week 16 of the pregnancy, if not earlier. Modern technology can tell you the gender of a fetus as early as 16 weeks. Also, women can learn a lot about how their body and life will change during and after pregnancy prior to 16 weeks of pregnancy.
Personally, I would rather deal with the health risks than seek an abortion, but that is my own choice.