1. The problem statement, all variables and given/known data An = (n+3)^1/(n+3) Converge or diverges? Find the limit of the convergent sequences. 2. Relevant equations 3. The attempt at a solution I have the solution but I don't understand it. I'm looking to get it. It shows me taking the limit as x->infinity of x^1/x and determine that it is 1. (Thus the series converges). I am not sure at all how to find the limits though, I'm lost in my calculus class. Any guidance would be great.