- #1
B18
- 118
- 0
Homework Statement
Show the following sequence to diverge, or converge. Determine if monotonic.
a sub n=n+(1/n)
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.