The Balmer series occurs between the wavelength of R=1.0968  ×  107 m−1

For Balmer series1λ  =  R122−1n2where  n=3,4,5, .....∞To   obtain  the  limits  for  Balmer  series  n=3  and  n=∞  respectively.λmax n=3 =  1R122−132=365R=365 ×  1.0968 ×  107 m  =  6563 Aoλmax n=∞ =  1R122−1∞2=4R=41.0968  ×  107 m=3647 Ao