Do games support 4k?

[breadturbo]

Stuff like civ 5, and upcoming bf4 etc or do they stop at 2560x1600?

My business has done quite well this year, so I'm considering one of these...

http://www.overclockers.co.uk/showproduct.php?prodid=MO-058-AS&groupid=17&catid=1120

I think my current setup should handle acceptable frame rates for it, but there is no point getting it if it's not supported

 

[breadturbo]

Well, my system is more for gaming, so my query was whether the games themselves support the resolution? I know Arma 3 does as there are vids on the tube.