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How to find the Interval of Convergence of the series ? Sigma Top=Infinity , Bottom= k=1, of (k^2(x-1)^k+1 divided by (3^k)

How to find the Interval of Convergence of the series ? Sigma Top=Infinity , Bottom= k=1, of (k^2(x-1)^k+1 divided by (3^k)

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