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The numerical aperture of a microscope objective defines the objective's resolution. Each microscope objective has a minimum and maximum magnification necessary for the details in an image to be resolved. A simple formula for the minimum value is (500 x NA). And for the maximum magnification (1000 x NA).
The best resolution for an optical microscope is about 0.2 microns = 200 nm. The good news is, there's a difference between resolution and ability to locate the position. If you have one tiny and isolated fluorescent object, you can often locate the position of that object to better than your resolution. The image of the object will show up as an extended blob, and you can find the center of mass of that blob-shaped image.