In general, palm trees do not require lime. Most palm trees prefer slightly acidic to neutral soil conditions. However, there are certain palm species, such as the Canary Island date palm (Phoenix canariensis), that are more tolerant of alkaline soil and may benefit from the application of lime to adjust the pH levels. It is best to research the specific needs of your palm tree species and consult a local horticulturist or arborist for accurate recommendations regarding lime application for your palm trees.