If we say that a sequence converges, it means that the limit of the sequence exists as n tends toward infinity. If the limit of the sequence as doesn’t exist, we say that the sequence diverges.

A sequence always either converges or diverges, there is no other option. This doesn’t mean we’ll always be able to tell whether the sequence converges or diverges, sometimes it can be very difficult for us to determine convergence or divergence.

Read More