According to Top Tropicals, and I do think their information on Jasmine is the best, most tropicals stop the growing process below 65 deg and can get cold damage below 45 - 50F, some ultra-tropicals can be severely damaged or killed with temps. below 55F. It is not always just the temperature factor but the duration of the cold periods. Chilly winds are even more dangerous and can destroy a plant in a matter of minutes even if the air temp does not seem to be critical.Symptoms are: leaves get dry, often by segments. Growing points dry off and die. Hope this helps. Years ago Top Tropicals put out a small booklet on Jasmine Sambac and one on Troubleshooting First Aid Kit. They were so very helpful to me when I first began propagating jasmine because I had no one to talk to and no way of knowing who to ask. I learned from doing and many lost cuttings....but, all is well that ends well and it is fine now. I love sharing information to people who really care.