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7. Find the radius of convergence and the interval of convergence of the following power series. 1 (x + 1)n 3n n +1 n=1 Show

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7. Find the radius of convergence and the interval of convergence of the following power series. 1 (x + 1)n 3n n +1 n=1 Show your work.2n2+ (-1)"n 8. Determine whether the sequence an = lim converges or diverges. If it converges, find n-+00 3n2 + 1 the limit

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