Can my pc run these following games smoothly on high settings?..?

None of those will run well. BF3 and Skyrim wouldn't even be worth playing. You're going to need a good dedicated GPU to have a chance.

The good news is that your CPU is just fine for these games, but you'll need to shell out for a video card and probably a beefier power supply as well. If you want a video card, a bare minimum of a Radeon 6770 or a GTX 550 Ti is necessary to play them at least decently. Shoot for a Radeon 6870, GTX 560, or better if you can.

Make sure your power supply can handle the card you get.

What you always forget is screen resolution. GT 440 for 1366x768 GTS 450/GTX 550 / HD 6770 for 1650x1050 GTX 560 and above/HD 68xx and above for 1920x1080 and above BF 3 is one of the heaviest games in existence, its currently harder to run than what crysis was at the time.

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