Q.Sweet lime trees
I live in Pine Valley, CA on a mountain. What is the best way to care for my tree and keep it from freezing?
The Indian Sweet Lime Tree cannot withstand freezing temperatures.
They should be grown in zones 9-10.
You can grow the tree in a pot so that it can be moved to protect it from frost.
A container tree will require daily water and when temperatures are hot and dry it may need multiple waterings a day.
Here is more information for you.
https://hort.purdue.edu/newcrop/morton/sweet_lime.html
http://www.citrusvariety.ucr.edu/citrus/palestine.html