1. The problem statement, all variables and given/known data Show the following sequence to diverge, or converge. Determine if monotonic. a sub n=n+(1/n) 3. The attempt at a solution I understand that the sequence does diverge. I found this because the limit as n→∞ the limit is going to ∞ as well. I found that the sequence is monotonic by showing that a sub n is less than a sub n+1. I tried to do the first derivative test for this and was confused when I had the sequence decreasing from 0 to 1 and increasing from 1 to ∞. Wouldn't this make the sequence not monotonic? Just need an explanation to this.