Two similar-looking series are given. Test each one for convergence or divergence. 3" ( a) Σ 3" (6) n=1

Q: Find the radius of convergence and interval of convergence of the following series. n (x – 6)" n +1…

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Q: Test the convergence of the following series. E(-1y-1 sin? n=1

A: Given that ∑n=1∞(-1)n-1sin2(1n)

Q: For the discrete series given as, X variable values - 32 with frequemcy 2, 37 with frequency 5, 46…

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Q: nvestigate the convergence of the following series. H.V 2n+5n 2) Σ-1 3n %3D1 1LJ!

A: We have to find out convergence

Q: Prove convergence or divergence for the following series. Be sure to be thorough and careful with…

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Q: Approximate the following series by the sum of the first four terms. Estimate the magnitude of the…

A: Given series is: ∑n=0∞-1n1n2+4

Q: Test the convergence of the following series. log 2 log 3 log 4 + 32 22 42

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Q: the following series for conve 2π) 6 3n 2x5x8 2x5x8x11

A: We have to consider the given series are convergent or divergent according to the given information

Q: Question 5 Use the appropriate test to determine convergence or divergence of the following series.…

A: We can represent a series by the expression ∑n=1∞ an, where an is the nth term and an is a function…

Q: Discuss the convergence or the divergence of the following series. Justify your answer. (a) | (b)…

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Q: Determine whether the following series converges or diverges. 7 n2" Input C for convergence and D…

A: Given series is ∑n=1∞7n2n

Q: B. Test the divergence of the following series n=1 n

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Q: Test the convergence of the following series. (4) E(-1y-' sin² n=1

A: Conditionally convergent

Q: 2. Find the radius of convergence R of the following series. (-4)"x" n· Vn

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Q: If L=3z-i of a power series, what is the radius of convergence i 3 1 3i 1

A: Given for a complex power series is the limit L=3|z-i|.