plz help with #11, 18, 29 in the first pic second pic plz help with #12, 17 n 37

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plz help with #11, 18, 29 in the first pic
second pic plz help with #12, 17 n 37

Plz Help With 11 18 29 In The First Pic Second Pic Plz Help With 12 17 N 37 1 (438.51 KiB) Viewed 11 times

Plz Help With 11 18 29 In The First Pic Second Pic Plz Help With 12 17 N 37 2 (373.39 KiB) Viewed 11 times

9-26 Determine whether the series is convergent or divergent. 1 9. Σ n=1 h 12. 1 11. 1 + + 8 1 1 +-+ 5 7 14. 1 + 15. Σ n=1 1 1 1 13. + + 3 7 11 17. Σ 19. Σ Σ 1 2 n=1 n² + 4 n=1 n 25. Σ Σ 1 212 27. Σ n=1 η + 4 2 Π n³ 4 1 21. Σ Σ n=2 n ln n 29. Σ 23. Σ ke* k=1 1 27 +4 1 2 n=I n + n 1 9 + COS TT N + + + 64 31. Σ n(1 + ni)P n=1 1 11 1 15 1 313 + + + + 1 125 1 13 1 19 + + 1 Ανα + + 10. Ση n=3 1 515 ∞ 16. Σ h=| 18. Σ 20. Σ 22. Σ 1 2 n=t n' + 2n + 2 -0.9999 n=3 12 26. Σ n=1 +... 28. Σ n=1 1 + n n=2 Π √√n 30. Σ 24. Σ ke-k k=1 27-28 Explain why the Integral Test can't be used to determine whether the series is convergent. 3η – 4 2η Τ 32. Σ n=1 In n 2 3/2 29–32 Find the values of p for which the series is convergent. 1 n=2 n(In n)P Τ 4 nt + 1 cos'n 1 + n² n=3 n In n [In(In n)]r In n nP
11.4 EXERCISES 1. Suppose Σ am and Σ b, are series with positive terms and 2 b is known to be convergent. (a) If an> b, for all n, what can you say about Σ a,? Why? (b) If an < b, for all n, what can you say about Σ an? Why? 2. Suppose Σ a,, and Σ b, are series with positive terms and Σ br is known to be divergent. (a) If an> b, for all n, what can you say about Σ a,? Why? (b) If an < b, for all n, what can you say about 2 an? Why? 3-32 Determine whether the series converges or diverges. 1 n=1 n' + 8 3. Σ n + 1 5. Σ n=1 n√n 9. 7. Σ m=1 kl k 11. Σ VE Εινα3 + 4k + 3 13. Σ n=1 9" 3 + 10" 15. Σ M=1 In k 19. Σ 1+ cos n e" 4"+1 3"-2 1 17. Σ n=i vn2 + 1 n+ 1 n=n' + η 4. 1 n=2 vn - 1 M 1 n=in’ + 1 6. Σ 8. Σ n=1 10. Σ k=1 12. Σ * (2k – 1)(k’ – 1) Fi (k + 1)(k2 + 4) 14. Σ n=1 16. Σ 6" 5" - 1 k sinák 1 + k³ 18. Σ n=1 h" 20. Σ n=1 1 {3n+ + 1 2 N=1√√√2+2 n² +n + 1 n* + n? 21. 23. Σ 5+2n w= (1 + n?)2 25. Σ 29. e" + 1 h=i ne" + 1 27. Σ (1 + 1)² C² n=1 v1 + n 2+n Με 33. n=1 1 31. Σ sin(1) Σ n=1 1 πος της 22. 35. Σ 5-"cos n n=1 n+2 w=3 (n + 1)3 24. Σ 28. n+ 3" N=1 n + 2" 30. 26. Σ 1 w=2 n vn2 – 1 1/N N=1 n BWI WI Σ 32. Σ 33-36 Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error. 34. Σ ΝΤΙ n! 36. Σ 1 1 n=13" +4" ellin Show that this series always converges. 37. The meaning of the decimal representation of a number 0.d1d2d3... (where the digit d; is one of the numbers 0, 1, 2. . . . , 9) is that d₁ d₂ d3 d4 O.didyd3d4 . . . = + + + 10 10² 10³ 104 > +...