PLEASE HELP ME WITH THESE CALCULUS QUESTIONS

Question 3, 4, 15, 20, 21, 25, 31, 45, 49, 55

H Calculate the sum of the series 22.10,. Whose partial sums \"then. n2 - 1 H's\" = 2 - n = 1 3m) 9' S" 4.12 + 1 (3) Determine whether {an} is convergent. (b) Determine whether 2L1 an is convergent. 17-22 Determine whether the series is convergent or divergent by expressing s, as a telescoping sum (as in Example 2). If it is convergent, find its sum. 17. V 18. n + 2 n IM i n Vn + 1 3 n 19. 26 In n=l n(n + 3) n=1 n + 1 E (elln - el/(n+1)) 22. M n=1 n=2 n3 - n23-32 Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 23. 3 - 4+ 3 _ 64 + ... 24. 4 + 3 + + +... 16 25 10 - 2 + 0.4 - 0.08 + ... 26. 2 + 0.5 + 0.125 + 0.03125 + ... 27. _ 12(0.73) "-1 28. 1=1 IM : iM : 00 29. (-3) "-1 3n+1 30. n=1 4" (-2)" e 2n 6 . 2 20-1 37. iM : 32. iM : 6"-1 3"\f33-50 Determine whether the series is convergent or divergent. If it is convergent, find its sum.