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Suppose that the power series Σan(x-6) n=1 converges at x = 9. At which of the following points MUST it also converge? (i) x = 8 (ii) x = 6 (iii) x = 3 (A) none of them (B) all of them (C) (i) and (iii) only (D) (i) and (ii) only (E) (ii) only (F) (i) only (G) (ii) and (iii) only (H) (iii) only

Suppose that the power series Σan(x-6) n=1 converges at x = 9. At which of the following points MUST it also converge? (i) x = 8 (ii) x = 6 (iii) x = 3 (A) none of them (B) all of them (C) (i) and (iii) only (D) (i) and (ii) only (E) (ii) only (F) (i) only (G) (ii) and (iii) only (H) (iii) only

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Suppose that the power series Σan(x-6) n=1 converges at x = 9. At which of the following points MUST it also converge? (i) x = 8 (ii) x = 6 (iii) x = 3 (A) none of them (B) all of them (C) (i) and (iii) only (D) (i) and (ii) only (E) (ii) only (F) (i) only (G) (ii) and (iii) only (H) (iii) only
Transcribed Image Text:Suppose that the power series Σan(x-6) n=1 converges at x = 9. At which of the following points MUST it also converge? (i) x = 8 (ii) x = 6 (iii) x = 3 (A) none of them (B) all of them (C) (i) and (iii) only (D) (i) and (ii) only (E) (ii) only (F) (i) only (G) (ii) and (iii) only (H) (iii) only
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