What is the shortest wavelength present in the Paschen series of spectral lines?

Explanation

Rydberg's formula is given as:
`(hc)/lambda=21.76xx10^(-19)[1/n_(1)^(2)-1/n_(2)^(2)]`
Where,
h=planck's constant `=6.6xx10^(-34)Js`
c=Speed of light `=3xx10^(8)m//s`
(`n_(1)` and `n_(2)` are integers)
The shortest wavelength present in the Paschen series of the spectral lines is given for values `n_(1)=3 and n_(2)=infty`
`(hc)/lambda=21.76xx10^(-19)[1/(3)^(2)-1/((infty)^(2))]`
`lambda=(6.6xx10^(-34)xx3xx10^(8)xx9)/(21.76xx10^(-19))`
`=8.189xx10^(-7)m`
`=818.9mm`