Well, in 2003 (14 years after the release of HTTP 1.1), Twitter considered it acceptable to remove HTTP 1.0 from their API access (You can still access the website itself fine over 1.0).
I expect to see 1.0, 1.1 and 2.0 continue to live on basically forever.
Of course, the interesting question will be how fast will the majority of users, and servers, be running 2.0?