If I need 120hz/144hz monitor for my gtx 780?

Sitnoff

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Jun 21, 2014
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Im playing now LoL, left 4 dead 2, far cry 3 on my 1080p acer 60hz monitor and there's tearing all the way, in LoL i get like 200-300 fps and a huge tearing on my screen, once I put vertical sync on, and playing with 60fps i dont have any problems. how this problem could be fixed? If I want to play LoL at 100+ fps, left 4 dead 100+ fps and get all the power that has gtx 780 I should only buy a new monitor ? 120hz / 75 hz / 144hz ? Also this old 60hz monitor is running with adapter from my gtx 780 dvi-i to my monitor's vga. im newbie in this..please help me