Whats strange about mine is that it spins when I turn the car off, post cooling the fan will work.
When I put my A/C on it does not come on and I have the same issue, ice cold on the highway and hot at lights so I havent been using it.
How could the fan be bad if it still spins after driving for post radiator cooling? Is there a control for the A/C which may be bad?

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2003 X5 3.0i
Premium & Sport package
Steel Gray Metallic
55K miles and counting