Thanks for the DIY! For those wanting pictures, take a look at Pelican's tutorial. (Link at bottom).
Before you go buy a new $80 resistor, take a look at my images. I had damage from a short. The wires just above the connection into the resistor had damage. The insulation had melted off about an inch and had corrosion. My quick fix, cleaned off the corrosion and fed electrical tape between the wiring; encapsulating the damaged wire. Wrapped once more and reconnected everything. Voila!
Entire thing took maybe 15 minutes following the guide applying my fix. Hope it's that simple for you! Good luck!
http://www.pelicanparts.com/BMW/tech..._Replacing.htm