What is the Series Limit in a Spectral line
Every series of wavelengths produced from the hydrogen atom excitations have a certain minimum limit. These minimum wavelengths are called the series-limit for that particular series. Take a look at this picture for example:



The minimum series of the Lyman series would be for the largest transition, which is from ∞$\ce{ -&gt; }$1. Plugging the values into the Rydberg's equation:

$$\frac{1}{\lambda}=R_{∞}\left(\frac{1}{1}-\frac{1}{∞}\right)$$

That should give us a value of 91nm. Which is the series-limit for the Lyman series. 

Now you can find series-limits for the other series as well.