I don't know much about palm trees but I cannot stand being around chlorine. This link is to an article about the effects of chlorine on palms...but I think having the palms indoors would increase the negative effects of the chlorine.
http://www.poolspalmbeaches.co...
Also, is the tap water at the hotel chlorinated? Do you use that water on the palms?
I'm sure some palm experts will be along soon with a better answer.
