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Suppose that ∑n = 0∞an(x+1)n converges at x = −2. At which of the following points must the series also converge? Use the fact that if ∑an(x−c)n converges at x, then it converges at any point closer to c than x. a. x = 2 b. x = −1 c. x = −3 d. x = 0 e. x = 0.99 f. x = 0.000001

Suppose that ∑n = 0∞an(x+1)n converges at x = −2. At which of the following points must the series also converge? Use the fact that if ∑an(x−c)n converges at x, then it converges at any point closer to c than x. a. x = 2 b. x = −1 c. x = −3 d. x = 0 e. x = 0.99 f. x = 0.000001

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  1. Suppose that ∑ n = 0 ∞ a n ( x + 1 ) n converges at x = − 2 . At which of the following points must the series also converge? Use the fact that if ∑ a n ( x − c ) n converges at x , then it converges at any point closer to c than x . a. x = 2 b. x = − 1 c. x = − 3 d. x = 0 e. x = 0.99 f. x = 0.000001

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