There is a wavelength limit beyond which the spectrum of any givenn series of the H-atom becomes continuous. Why?

Explanation

The energy difference between the first and second orbits is maximum. With the increase in the value of principal quantum number (n), the energy difference between two successive orbits decreases. Consequently, after a particular value of n, the energy difference between two successive orbits decreases. consequently, after a particular value of n, the energy levels become very closely spaced and as a result they seem to be continuous.