Why Is There an Upper Limit to Photon Energy in Hydrogen's Emission Spectrum?

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why is there an upper limit to the photon energy that can be observed in the emission spectrum of the hydrogen atom?
 
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Because it corresponds to the difference of energy of the most energetic bound state of H, which is 0, and the ground state energy, which is a certain negative amount that I don't remember, something like 10 eV.
 
The ionization energy is 13.6 eV. Which corresponds to the light emitted by a H+ ion that absorbs an electron which drops immediately to ground state.
 

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