Question

Consider the series ∑n=1∞ 3^n (n!) / n^n . Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive".Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent"

Answer 1

diverges

Answer 2

so is it DNE?

Answer 3

it would be nice if you could type it little bit different so I can be sure what kind of series it is....use the ''equation'' option please