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I assume their must be a limit since it cannot rise to necessarily any value, and, as the person above me mentioned, at some point the electron would be so far from the nucleus it might fall off; however, Dr. Lavelle never suggested their was a limit, and you shouldn't need to know this for the homework problems :)
there's really no limit on the levels, but we give electrons quantum levels to serve as a quantifiable measure. additionally, the quantum levels correlate with the type of electromagnetic radiation (visible, ultraviolet) that is present at those energy levels (Lavelle had a slide demonstrating this in the lecture)
I remember during the lecture Professor Lavelle did say that the electron could go infinitely away from the nucleus. The energy would, however, be zero. He did say that would be our reference point though. So I'm not exactly sure about a limit.
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