Consider the series Answer: L = n=1 5" (n+1)4²n+1* Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it does not exist, type "DNE". lim n-00 an+1 an = L What can you say about the series using the Ratio Test? Answer "Convergent", "Divergent", or "Inconclusive". Answer: Convergent Determine whether the series is absolutely convergent, conditionally convergent, or divergent. Answer "Absolutely Convergent", "Conditionally Convergent", or "Divergent". Answer: Absolutely Convergent

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Q: Find all the values of x such that the given series would converge. Σ (5)" (/n + 11) n=1

A: We will use ratio test to find interval of convergence.

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Q: Create your own example of a convergent series for which you use the basic comparison test. Make…

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A: 11-x=∑n=0∞xn for x&lt;1 to expand the function 91-x in a power series with center c=-7