Consider the series $\displaystyle \sum_{n=1}^{\infty} \frac{2^n n!}{6 \cdot 9 \cdot 12 \cdot \cdots \cdot (3 n + 3)}$. Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". $$\lim_{n\to\infty} \left|\frac{a_{n+1}}{a_n}\right|=L$$ Answer: $L =$

What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive".
Answer: choose one Convergent Divergent Inconclusive

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Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent".
Answer: choose one Absolutely Convergent Conditionally Convergent Divergent

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