Today when I was shifting from 1st to 2nd gear in my 325i, the gear didn't catch and stayed in neutral unbeknownst to me. So when I gave it throttle, it revved almost all the way up to redline. I've never done this in the 3 years I've had my car. Is this damaging to the engine?

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2000 Oxford Green X5 4.4
2002 Titanium Silver 325i Sport