Question

32. [-12 Points] DETAILS SCALCETS 11.8.007.MI. Find the radius of convergence, R, of the series. 00 x2+2 5n! n = 3 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = 33

Answer 1

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32) >> Here, the series is nt2 a 5 n! n=3 det an n12 x 5n! wow, we shall perform the ratio test. 5 ni lim laint I autol lim n-s00 n+3 lal 5 (M+1)! lanl nyo =lim al intu 0 <I no T This the power series is convergent for every in so, the rading of convergence is R=100 and the internal of conve vergence is I = --00,00)