Please help me with the following:

Use the Limit Comparison Test to determine whether the series converges or diverges. 0 0 7e" +1 Ea\" Zenzn \"+20 11:1 00 CO The comparison series is Z; b\": 266;) where c : 7 and p : 1 n: n (1 Then, lim \" = o TIL>00 b\" :3 bn is a divergent pSeries v , therefore 2 an diverges v by the Limit Comparison Test. Use the Direct Comparison Test to determine whether the series converges or diverges. an : 7 71:3 11:3 E DO 00 1 The comparison series is 2 bn : Z C(np) where c : 1 and p : 'i , which means an 5 v b for all n 2 3 71:3 123 00 00 2 bn is a divergent pseries v , therefore 2 an diverges v by the Direct Comparison Test. 71:3 11:3 Use the Direct Comparison Test to determine whether the series converges or diverges. 0 9 + 9 sin2 n 2 an = z + 2 71:1 71:1 00 00 1 The comparison series is 2 bn : Z c() where c : 9/2 and p : 1 , which means an 2 v bn for all n 2 1 n=1 n21 n'p 00 00 Z 511 is a divergent pseries v , therefore 2 an diverges v by the Direct Comparison Test. 71:1 11:1 Use the Direct Comparison Test to determine whether the series converges or diverges. :0: i0: 12 tan1 n an 2 2 n:3 n:3 15 n 00 DO The comparison series is 2 b 2 Z own1 where a 2 and 7' : ., which means an ? v b\" for all n 2 3. n:3 11:3 00 00 2 bn is a ? v , therefore 2 an ? v by the Direct Comparison Test. n:3 n:3