Determine the radius and interval of convergence for n(x + 2)" 3n+1 n=0 Radius of Convergence: R = Enter your answer here Interval of Convergence (in interval notation): Enter your answer here

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A: The radius of convergence of ∑n=1∞1n24n(x+4)n is R=4.

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A: We are given the series,                             . Now, we need to find the radius of…

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A: The given series is

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A: The given series,     ∑k=0∞xkk+4

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A: First i I have find the Radius of convergence using formula and then find the interval of…

Q: Determine the radius and interval of convergence for n(z +2)" 3n+1 n=0 Radius of Convergence: R =…

A: Ratio test: The ratio test is used to test the convergence of the power series,

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A: we have to check interval of the convergence and radius of convergence

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A: The given power series is ∑n=0∞xnn4+3.

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A: Here, I have used D'Alembert principle to determine the radius of convergence.

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Q: 3. Find the radius of convergence and interval of convergence of > k=1

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Q: Q2. Find the radius of convergence and interval of convergence of n! Σ n=0 2"

A: Given: ∑n=0∞n!2nxn

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A: To determine: The convergence of the power series ∑k=1∞ xkkk+1 Concept used: Ratio test:…

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A: Given series ∑k=1∞(-1)k(x+2)2k+1k2+4 want to find radius of convergence and interval of convergence

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A: The

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