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The Power Series ∑n=1∞an(x−2)n\sum _ { n = 1 } ^ { \infty } a _ { n } ( x - 2 ) ^ { n }

Question 88

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The power series ∑n=1∞an(x−2)n\sum _ { n = 1 } ^ { \infty } a _ { n } ( x - 2 ) ^ { n } and ∑n=1∞bn(x−3)n\sum _ { n = 1 } ^ { \infty } b _ { n } ( x - 3 ) ^ { n } both converge at x=6x = 6 . Find the largest interval over which both series must converge.

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