problem with youngest daughter

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I have a daughter that is 2 years and is very picky about what she eats. I try to feed her food, but she won't try it. All she wants is banana, yogurt, chocolate ice cream, etc. You get my drift? I just don't know what to do to make her eat more nutritious foods. Her doctor told me to try to feed her only what I am serving and if she doesn't want it, not to give her anything else and eventually she will change her tune. Play tough is what she said. So what do you think I should do. I'm at my wits end. Thanks so much in advance.