Furnace burner fires and runs for a few minutes until the limit switch shuts it down, and fault LED starts indicating "limit switch open". At no point during burn does the blower start. Find no line voltage across terminals N-H, N-C, or N-HC at anytime during the burner run.

There are more than one limit switches on most furnaces and they are resettable. You need to locate the offending switch and reset it, press the same button until it clicks. The most common tripped limit switch is right near the flame of the burner, it trips if the flame blows back into the furnace rather than up the exhaust