Determine if the following series is convergent or divergent .
I know it is a convergent series and it converges to 3 but i am unsure how to show it .
I tried ..
I am also not sure how to find ..
If you had a sum of all these terms, then you would have a series.
If you want to show that this sequence converges as , notice that n is in the denominator. As n gets large, the fraction gets small (tends to 0).
So what would tend to?
If the first few terms in the sequence are , then the k'th term will be , and you need to find the limit .
Can you take it from there? Don't forget that it is k that goes to infinity, and n stays as a constant.