Does the new Macbook Air have a 1000 battery cycle limit?
Yes their design limit is to exceed 1,000 full charge cycles. Quoting from Apple on batteries:
The built-in battery of your MacBook, MacBook Pro or MacBook Air is designed to deliver up to 1000 full charge and discharge cycles before it reaches 80 percent of its original capacity.
I have been bowled over at how well the internal battery chemistry holds up over time. Of course, bad batteries fail prematurely all the time and need to be swapped, but my gut feel is way more of these "go the distance" than all the older removable batteries.