Use the Limit Comparison Test to determine whether the series converges or diverges. DO 9 . 12" + 4 . 9n an 13" + 4n n=1 n=1 OO The comparison series is bn arn-1 where a = 9 and r = 12/13 n=1 n= Then, lim an n too On OO bn is a convergent geometric series v , therefore M an converges v by the Limit Comparison Test. n=1 n=1Use the Limit Comparison Test to determine whether the series converges or diverges. DO 00 3 ganzz 4n+2en 11:1 00 00 The comparison series is E bn : E urn1 where a : and r : 12:1 71:1 . an Then, 11m = nmo bin. 00 ()0 2 ha is a ? v , therefore 2 an ? v by the Limit Comparison Test. 71:1 11:1 Use the Direct Comparison Test to determine whether the series converges or diverges. an : 71:3 71:3 00 DO 1 The comparison series is 2 bn = Z c() where c = and p = , which means an ? v I)\" for all 7 7 n13 1273 7173 n 2 3. DO 00 2 bn is a ? v , therefore an ? v by the Direct Comparison Test. \"=3 11:3