I used to have this worry as well as my CRT monitor burned recently. Since from threads some say that LCD optimum resolution was not good due to video card limitation.
My system is win XP, and CRT was running at 1064x768 display. After consulting few others , my input is that it depend on the existing graphic support. Mine was onboard intel display chip as my video card konked out even earlier. Since my CRT was running fine on said resolution I expect the same for the LCD.