If the fan does run replace the relay.
E39 aux fan relay location.
Remove the low speed relay and apply a jumper wire between terminals 30 and 87 in the relay socket.
Id your model and search.
Open the glove compartment and turn the two white quick release knobs to the left.
For the bmw e39 1996 1997 1998 1999 2000 2001 2002 2003 model year.
Go to my website and bmw forum.
If the fan does not run replace the low speed resistor.
If the fuse is not blown the most likely fault is the final stage unit or the fan motor.
How to diagnose your fan if it s in working order for 10 1998 and up bmw e38 and e39 before this date have a resistor pack that can be changed to fix this i.
The resistor is mounted on the fan housing.
The bentley repair manual shows the location on page ecl 20.
Fuses and relay bmw 5 e39.
If the fuse is blown replace it and see what happens.
This is the electrical fuse and relay box under the plastic cover in the passenger side rear of the engine bay.
Click below for 4 pin low speed relay.
Spare fuses and plastic tweezers are located on the fuse holder.