<p>Hello I have a Prusa I3 I am currently able to get press fit parts with my current settings. I am using Ramps 1.4 hardware and repetier software and cura as my slicer. I am printing with a .2 mm layer height right now but would like to get a better number such as .1 or .09. When I try to print with say .1mm layer height in the middle of the print the filament stops coming out of the nozzle. However I can still see the gear moving. I have check some sites that I have been using for troubleshooting but I haven't found anything that fixed the problem yet. How or what setting need to be changed in order to print with better resolution?</p>

There are no settings that you should need to change. Rather, it seems like you are suffering from another issue that is not directly related to layer height.
It is possible that your hotend's heat sink is not being cooled enough, causing heat to migrate up and soften plastic in the heat sink, ultimately jamming it. Depending on your hotend's make, the heat sink should be cooled by a fan that is always on.
Normally, the plastic being fed into the hotend provides some cooling, but printing at a thinner layer height decreases this effect because less plastic is fed into the hotend per time unit.