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Q1Section A (Section A)1 of 60

Radius of a squared factorial series

If RR denotes the radius of convergence of the power series ∑n=1∞(2⋅4⋅6⋯2n2⋅5⋅8⋯(3n−1))2xn,\sum_{n=1}^{\infty}\left(\frac{2\cdot 4\cdot 6\cdots 2n}{2\cdot 5\cdot 8\cdots(3n-1)}\right)^{2}x^{n}, then which one of the following statements is true?

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