Find the radius of convergence and interval of convergence of the series X∞ n=1 xn 3n n6

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: We’ll answer the first question since the exact one wasn’tspecified. Please submit a new question…

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A: As you have asked for the solutions of question number 3 only. So I am solving only that. Hope it…

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Q: Find the radius of convergence and interval of convergence of the series

A: Rewrite the given series as ∑n=2∞ x2nan, where an=1n(ln n)2 limn→∞ an+1an=limn→∞(n+1)(ln(n+1))2n(ln…

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A: Here we have to find the radius of convergence and interval of the convergence of the given series.

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A: ,We know that, ∑n=0∞1np is converges for all p&gt;1.i.e.∑n=0∞1npis converges for all p&gt;1. This…

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