Lime trees require full sun and they will perform best if they receive southern sun. They require excellent drainage as they will not tolerate standing water. Lime trees require consistent moisture. Lime trees will drop their leaves if left dry too long. They are heavy feeders of fertilizer so fertilizer applications every few months are recommended. Lime trees prefer temperatures over 50 degrees. All lime trees grown in northern locations need to be containerized and brought inside for successful lime production.