# Thread: Sequence Convergence question

1. ## Sequence Convergence question

Determine if the sequence {(2n-1)/(3n^2+1)} n=1,2,3.... converges or diverges. If the sequence converges find its limit.

I did L'Hopital's rule to find the limit which I found to be 2/infinity= 0. Is this correct? Would that mean that the sequence converges. Would this also mean that the limit is 0?

2. Originally Posted by ihatemath
Determine if the sequence {(2n-1)/(3n^2+1)} n=1,2,3.... converges or diverges. If the sequence converges find its limit.

I did L'Hopital's rule to find the limit which I found to be 2/infinity= 0. Is this correct? Would that mean that the sequence converges. Would this also mean that the limit is 0?

$\displaystyle \lim_{n \to \infty} \frac{2n-1}{3n^2+1} = 0$