Question

Please show ALL work and give explanations in between steps.

Find the radius of convergence, R, of the series. (9x – 8)” non n = 1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

The work being shown for this problem is very important!

Answer 1

(9-8)" a) non an (gn-8) n.gn. using now Ratio test L= lim anti nts (92-8394) (hts).gne (92-8) ngh (91-8) خارشو Mit).3 * (graf) nguo gnof Pey Convergence Lal In 8

(9x-81 eg -gegn-8) e 9 -9+8 LgaL 9+8 -lL gnen Lach now check at end points. - - - at na E ngh n.gh E (17.94 n.gr E bir alternating Series na ) HAI Antisans Convergones. eet 물 تو حال h.gr est P series with n ho) .: Divergence. Hence interral of convergence I (9)

now Raclius of convergence R= 1 + 1 2 2 M R=1