The answer is kinda multi part. Unless you have a 970/980 you have HDMI 1.4c or lower, you'll be limited to 30 FPS, the next problem is the TV probably doesn't have any inputs that can do 4k at 60Hz. 4k tech just isn't ready yet. You can do it, for gaming you'll probably want a second card even for the 30Hz, one card can do 30, but it's gonna dip below 30 at points. You'll want two.
The 970/980 have HDMI 2.0, but I don't believe there are any TVs out yet that have it, there might be, haven't checked in a little bit.
Ya, just checked the product page, no DVI, no Displayport, 1080p HDMI. You'll be at 1080P, but the TV will upscale, I've heard they look great upscaled though. You would be fine with one video card.