Problem

In hydrogen's characteristic spectra, each series—the Lyman, the Balmer, and so on-has...

In hydrogen's characteristic spectra, each series—the Lyman, the Balmer, and so on-has a "series limit," where the wavelengths at one end of the series tend to bunch up, approaching a single limiting value. Is it at the short-wavelength or the long-wavelength end of the series that the series limit occurs, and what is it about hydrogen's allowed energies that leads to this phenomenon? Does the infinite well have series limits?

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