I was playing Crysis 2 with it on highest settings and maxed out Anti-aliasing and 800x600 resolution with good framerate.
My specs for the computer were:
AMD quad core 2.4 ghz
4 GB ddr 2 ram
400w PSU
MSI 785GTM-E45 motherboard
The EVGA graphics card I am selling
My guess is that if I could play Crysis 2 with it and be happy, then you can play Skyrim on it and be happy, especially if your ram and processor are better than mine.
I've never played Skyrim, though.
If you have at least 2 PCIE x 16 slots on your motherboard, you could always buy another one brand new for $120 in addition to this one and link them together. The only reason I upgraded from it anyway was because it isn't great for mining.