Possibly a burnt out lamp driver chip in the light control module. Hard to verify unless it shows massive physical failure (a black hole in the chip!).

There's a couple of threads here about repairing and working on the light control module (LCM or LKM).

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Wayne
2005 BMW X5 3.0d (b 02/05)
2001 BMW F650GS Dakar (b 06/01)