if in $1/$wavelength$=$Ry$(1/$n$^21-1/$n$^22),$

you set n$1=1$ and take n$2$ greater than $1,$ you generate what is known as the Lyman series. Find the wavelength of the first member of this series. The value of h is $1\mathrm{.}05457$x$10^-24$ Jxs; the rydberg constant for hydrogen is $1\mathrm{.}09735$x$10^7$ m$^-1$; the bohr radius is $5\mathrm{.}29177$x$10^-11$ m; and the ground state energy for hydrogen is $13\mathrm{.}6057$ eV$.$ Answer in units of nm$.$ Part $2.$ Consider the next three members of this series. The wavelengths of successive members of the Lyman series approach a common limit as n$2->$infitiny. What is this limit$?$ Answer in units of nm$.$