10n Consider the series Evaluate the the following limit. If it is infinite, type (n + 1)62n+1 n=1 "infinity" or "inf". If it does not exist, type "DNE". an+1 lim L n-00 an Answer: L = DNE 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

Q: 3k Consider the series >(-1)*. k2 + 144 k=1 Using the error bound theorem for alternating series,…

A: Error bound theorem states that " if ∑n=1∞-1nbn  be a alternating series then if it satisfy (i)…

Q: asap

A: Please refer to the image below

Q: an + 1 Use the Ratio Test to try to determine if the series converges or diverges. Begin by writing…

A: As from the ratio test, L=limn→∞an+1an If L < 1, then series converges If L> 1, then series…

Q: 00 Expand the function in a power series a„x" with center c = 0. Find a,x". 4+3x n=0 (Express…

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Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity"…

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Q: 10" n=1(n+1)42n+1 Consider the series Answer: L = Evaluate the the following limit. If it is…

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Q: Determine whether the series converges or diverges. 00 Σ n = 3 converges 8 1 + 1/n O diverges Need…

A: Using the properties of exponents we get :  Then

Q: 00 3n + 2" Determine whether the series converges or diverges. If it converges, find its sum. n=1…

A:

Q: (7n3 +1 6n3 + 3 Consider the series Evaluate the the following limit. If it is infinite, type…

A: L=limn→∞|an|nL=limn→∞7n3+16n3+3nnL=limn→∞7n3+16n3+3L=limn→∞7n3+1n36n3+3n3  [Divide numerator and…

Q: lim Vlanl = L n00

A: We will solve this question by using Cauchy root test for convergence of series which says that if…

Q: Determine whether the sequence or series converges or diverges. If it converges, find its value. n…

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Q: A power series not centered at zero that is the derivative or integral of a geometric series. Write…

A: First observe that Let

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A: Basic question on sequence and series

Q: 00 an+1 Σ Again, consider the series Use your answer to question 5 to calculate lim Then determine…

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Q: 00 Expand the function „ in a power series a„x" with center c = 0. Find a„x". 2+3x n=0 (Express…

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Q: 7n 6n + 3 Consider the series Evaluate the the following limit. If it is infinite, type "infinity"…

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Q: 3n3 + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" or…

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Q: 00 If the series(-1)"a, is divergent and the seies is convergent then we said the series (-1)"an is…

A: Solve by series test