There is a rechargeable battery in the display key, which can be charged via USB or using the induction charger in the armrest. It is too big to carry around though - mine just sits in its box in a cupboard. With keyless entry and start, the key just stays in your pocket, so no opportunity to charge it like you did with the e39.
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Current: 2018 BMW G11 740d MSport XDrive
Past: 2015 Audi 3.0tdi A8L, 2012 Audi 3.0tdi A8L, 2009 Audi 3.0tdi A8, 2005 Jaguar 4.2V8 XJL, 2000 Jaguar 4.0V8 XJL + many others
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