Apart from burning a LED out with too much current or a mechanical failure (leads breaking etc), LEDs are very very very reliable. In fact I don't think I have ever seen a LED just die or wear out.

I'd guess a dry joint too. Should be pretty easy to check - just pull the face off.
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Christian
#40104192 120Gb (no longer in my E36 M3, won't fit the E46 M3)