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please answer 3 of the question in clear writing.
Find the radius and interval of convergence of the following power series. a. b. Σ (x + 1) C. Σ(-1): (x-2) n? 3
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Answer #1

Sol ( 9) an n! 2 Hele an = a n! = and ant ut N MHT n=1 = 24. x m+)-n! By Ratio test, L = lim ant Pn lim П), А. ة وh A. (nt).(+1) for convergent, ㅓ< 커 시 -2<A Co ㅋ 0R de (-2,5) 故 and Radiw, R = 어리 2 1 (C) 배 자리에 n2 37 n=1 ht| Here an 2 and anti (ight 아

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