Question

For the series below, (a) find the series' radius and interval of convergence. For what values of x does the series converge (b) absolutely, (c) conditionally? nxn n=1 (a) Find the series' radius and interval of convergence. The series' radius of convergence is 0. What is the series' interval of convergence? A. x = 0 OB. <x< (b) For what values of x does the series converge absolutely? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. CA. x= 0 (Use a comma to separate answers as needed.) OB. <x< O C. The series converges absolutely for all values of x. OD. The series does not converge absolutely for any values of x.

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cal 2

Answer 1

Given series 3 nok? to find isterial Applejing series ratio test of Covergence. La chimenea Conti nto a

an = nu nanti = (n+8th 9t! in ntos I I (MA)ht x H nox? ntl nta nx. La din | M41) neo

ten (a) din flas. din gra) uta xta ta lin 1 (ot) too l 1. din l into Ial. 00 1 (10(146) 000

lim (1++)?= e'se. n0 490 = x(os) ( din fitoh) din (1462) 500.09 C (11. e) = a(e)s a IXI AS L= ∞(x) = 0

AS So No L=0 By Ratio fest the series dwerges interval of covergens Interwal of convergence is X=0 Radies of Convergence is also equal to O. test, Rates hat if the tries Cowerges then absolutely cowergies So, absolete it In is Cowerges is KEO But no conditional Ratio telte So Series does Covergence in not converge Conditionally,

(a) The convergence series radies of y lol series isterial of The Covergence is A N=0 (6) A. X=0 Cc (D. the series Conditionally does not converge frary values of