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resolution LCD only have optimal resolution
resolution
The native resolution, which is the actual (and fixed) number of pixels built into the monitor.
the best resolution of a monitor is the maximum it can handle, i.e 1920x1080 would be best on a hdtv or a monitor which has its maximum of 1920x1080.
1920x1080
Generally an LCD 17 inch monitor will have a default resolution of 1280 x 1024
The resolution is the pixel dimensions of the display screen. It typically has a native pixel revolution of 1920x1080. It also depends on the inches in diameter of the LCD monitor. You can also use an HDTV as a computer monitor.
If you are using your Sanyo LCD TV as an external monitor for your alienware 17 and the resolution on the TV does not fit the screen then you need to adjust resolution setting from your alienware.
Dot pitch
The most likely possibility is that your monitor might not support that particular resolution. Some monitors can be finicky about the resolution they support. Furthermore, if your monitor is an LCD monitor, you might not actually want it to be at 1366x768 if that is not the monitor's native resolution. LCDs are designed to look best at their native resolution.
from 15 inch onwards
LCD monitors are designed to run at a native resolution. They have fixed dots that should line up with a pixel on your display. If your monitor is not set to its native resolution, it will try to display it, but the end image will be blurry and possibly distorted. You should change your computer's DPI (Dots Per Inch) setting instead of resolution if you find things too small to view on an LCD monitor.