How do you test the alternating series #Sigma (-1)^n# from n is #[1,oo)# for convergence?
the series is indeterminate.
We can easily see that the series is not convergent, since:
We can take a closer look at the partial sums:
and we can prove by induction that:
so that partial sums oscillate between the two values and do not converge to a limit.