# Math Help - Ratio and Alternating convergence tests inconclusive?

1. ## Ratio and Alternating convergence tests inconclusive?

Hi,

I'm testing this series for convergence:

n=1 to inf sigma: [(-1)^n][(n+1)/n]

And I'm getting the number 1 for both ratio and alternating series tests. Is there another test I should look for or should I try again with one of these? Thanks

2. Originally Posted by DannyMath
I'm testing this series for convergence:
n=1 to inf sigma: [(-1)^n][(n+1)/n]
If $\displaystyle\lim _{n \to \infty } \left| {a_n } \right| \ne 0$ then the series $\sum a_n$ diverges.