Induction question

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I cannot eat anything and I am 38 weeks pregnant no matter what I try to eat I always feel sick once I start eating it. Even drinking water upsets my stomach and give me nausea.

Can I ask to be induced? My baby hasn’t really grown. In fact when I went to my growth ultrasound she went from 25th percentile to the 18th percentile.

Everything else looks perfect on my little girl and she was practicing breathing a lot.

So do you think I should ask to be induced?