1. The problem statement, all variables and given/known data (n + 1) / (3n - 1) 2. Relevant equations A_n = L 3. The attempt at a solution lim n-> infinity (n/n + 1/n) / (3/n - 1/n) = (1 + 0) / (3 - 0) = 1/3 Thats the solution, however i have questions.. 1.) If a series is in rational form like this, is it typical to always divide by the largest n in the denominator? 2.) What is 1/3? Is that the limit of the series? In other words, 1/3 is what it converges to? 3.) I'm confused as to why the series approaches infinity, so why is 1/3 the limit? any help to explain what is going on, would help greatly. Thankyou.