Problem 1: Did you try a test/format that did not work? YES or NO. If YES, explain the issue. Σκ= (-1) (0.3)η Why did you choose the test that ultimately worked?

Q: Find the radius and interval convergence of the power series (х — 2)" Σ | 2" (Зп + 2)2 n=1

A: Given that ∑n=1∞(x-2)n2n(3n+2)2 By the ratio test,…

Q: Identify the most appropriate test to be used to determine whether the series En=175-2. 1 converges…

A: The correct method will be Limit comparison test with the given function as

Q: If the infinite series converges, write, "converges" and find the limit of the series. If it does…

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Q: Determine whether the series converges or diverges.

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Q: sin(n+ n 2/ un3D0 1+vn

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Q: 4. Demonstrate that the series converges conditionally. (-1)" Σn=0 2nTH+1 a. Address the convergence…

A: a. For the given series ∑n=0∞(-1)n2n+1, the nth term is an=(-1)n2n+1. Now, the series of the…

Q: Explain why The Ratio Test is unsuitable for determining the convergence of the given series. To…

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Q: 11. Use the alternating series test to determine whether the series is is convergent or divergent.…

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Q: 3. Test the convergence of the series an Convergo ¹00 2n=1 n*+2n²+1 no +3

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Q: (a) E 1 sen- n2 n=1 (b) En'e. Σ n=1

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Q: Determine if the series is divergent or convergent 5/4 using P-series test n=1 4n n²

A: To determine whether the following series is divergent or convergentby using p-series test.

Q: k! (ii) ek k=1

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 6. (6 pts) Isnin n a p-series? If so, use the p-series test to determine whether this series is…

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Q: sin k k-1

A: The given series is ∑k=1∞sin2kk2

Q: 2. Determine if the series is absolutely convergent, conditionally convergent, or divergent using…

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