Question

Consider the series sum_{n=1}^{infinity} ((3n^3 + 1) / (4n^3 + 3))^n. Evaluate the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". lim_{n->infinity} sqrt[n]{|a_n|} = L Answer: L = What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: choose one Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: choose one

          Consider the series sum_{n=1}^{infinity} ((3n^3 + 1) / (4n^3 + 3))^n. Evaluate the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE".
lim_{n->infinity} sqrt[n]{|a_n|} = L
Answer: L =
What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive".
Answer: choose one
Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent".
Answer: choose one

Consider the series sumn=1^infinity ((3n^3 + 1) / (4n^3 + 3))^n. Evaluate the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE".
limn->infinity sqrt[n]|an| = L
Answer: L =
What can you say about the series using the Root Test? Answer "Convergent", "Divergent", or "Inconclusive".
Answer: choose one
Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent".
Answer: choose one

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