Question

Problem 5. (12 points) Suppose that converpes diverges whenx=5. Determine whether the following series converge or diverge. Answer "Converges or "liverge Converges 1.- Converges 2. c2 WIW Converges -27 Divergesa (-1)*.12 Note: You only have two attempts at this problem. Note: You can earn partial credit on this problem.

Answer 1

n=6 Z cnxh Converges. when 7.x = -3 cliuerges when x=5 interval of convergence we know that series Converges absolutely when -3cx63 diverges when -54x4 and 54x 9 & Co & Chogh. no n=0 1 lies inside the internal since the this series is conuerger. n=o the no. 2 lies inside the Internal (-3,3) this series is converges. 16) -2 lies inside the interval 663,3) - Convergee & (-13h Cn 12h 3 x=-12 since - 12 <-5 this series diverges h= o

.nzo EEE n =0 e Con Connerges & enah - Converges & C (-2)h Connenges & (DhCn 12h diverges h=o w) nzo