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Try testing the outlet with a voltage meter, but it does sound like a bad outlet, I know I have had the same problem in the past and all I did was turn the power off to see if it would reset itself. When this did not work I tested it and it was dead. When you change the outlet, be sure to check the wires also, as something might have came loose. I replaced mine and it works perfectly to this day! Also check the wires on the GFI.