Laminar Research has released a Free Demo for X-plane 11. A tweet from X-Planes Official twitter called it a Public Beta. So there may be bugs and such that wont appear in the final version on release day. As a reminder they wanted to have X-Plane 11 out by November of which there are 5 days left. So you may not have to wait long for the full release version. At first glance there appears to be no restrictions listed on the demo like limited play time, limited aircraft selection, ETC. So if your looking to give X-Pane 11 a try go ahead and download the Demo from their webpage here.
EDIT (1613EST): It appears the demo area is limited to Seattle-Tacoma area of Washington State. There was no mention of this on the web page or the Tweet. I only found out once i ran the demo and changed my graphical settings.
EDIT (1650EST): There is also a play time limit of 20-30 minutes TOTAL! This is not per flight, thats all you get to play around with it and see if its what you want. Laminar maybe tell us the limits next time!