I'm sorry but your question/problem isn't clear to me. "The first growth was an orange shade..." - the leaves or the fruit? What variety? Why do you suspect lime would be a solution? We need more details please as with the info provided we could be talking about many, many different things from plain ole fruit BER to various plant diseases.

Variety, container or in the ground, planting/growing mix, watering program, feeding program, etc.? to help.

Dave