Question

22-34 Determine whether the series is absolutely convergent, conditionally convergent, or divergent.\ 22. $sum_{n=1}^{infty} frac{(-1)^n}{n^4}$\23. $sum_{n=1}^{infty} frac{(-1)^{n-1}}{sqrt[3]{n^2}}$\24. $sum_{n=0}^{infty} (-1)^{n+1} frac{n^2}{n^2 + 1}$\25. $sum_{n=1}^{infty} frac{(-1)^n}{5n + 1}$\26. $sum_{n=1}^{infty} frac{-n}{n^2 + 1}$\27. $sum_{n=1}^{infty} frac{(-1)^n}{n^2 + 1}$\28. $sum_{n=1}^{infty} frac{sin n}{2^n}$\29. $sum_{n=1}^{infty} frac{1 + 2 sin n}{n^3}$\30. $sum_{n=1}^{infty} (-1)^{n-1} frac{n}{n^2 + 4}$\31. $sum_{n=2}^{infty} frac{(-1)^n}{ln n}$\32. $sum_{n=1}^{infty} (-1)^n frac{n}{sqrt{n^3 + 2}}$\33. $sum_{n=1}^{infty} frac{cos npi}{3n + 2}$\34. $sum_{n=2}^{infty} frac{(-1)^n}{n ln n}$

          22-34 Determine whether the series is absolutely convergent, conditionally convergent, or divergent.\
22. $sum_{n=1}^{infty} frac{(-1)^n}{n^4}$\23. $sum_{n=1}^{infty} frac{(-1)^{n-1}}{sqrt[3]{n^2}}$\24. $sum_{n=0}^{infty} (-1)^{n+1} frac{n^2}{n^2 + 1}$\25. $sum_{n=1}^{infty} frac{(-1)^n}{5n + 1}$\26. $sum_{n=1}^{infty} frac{-n}{n^2 + 1}$\27. $sum_{n=1}^{infty} frac{(-1)^n}{n^2 + 1}$\28. $sum_{n=1}^{infty} frac{sin n}{2^n}$\29. $sum_{n=1}^{infty} frac{1 + 2 sin n}{n^3}$\30. $sum_{n=1}^{infty} (-1)^{n-1} frac{n}{n^2 + 4}$\31. $sum_{n=2}^{infty} frac{(-1)^n}{ln n}$\32. $sum_{n=1}^{infty} (-1)^n frac{n}{sqrt{n^3 + 2}}$\33. $sum_{n=1}^{infty} frac{cos npi}{3n + 2}$\34. $sum_{n=2}^{infty} frac{(-1)^n}{n ln n}$

$22-34 Determine whether the series is absolutely convergent, conditionally convergent, or divergent.22. sumn=1^infty frac(-1)^nn^43. sumn=1^infty frac(-1)^n-1sqrt[3]n^24. sumn=0^infty (-1)^n+1 fracn^2n^2 + 15. sumn=1^infty frac(-1)^n5n + 16. sumn=1^infty frac-nn^2 + 17. sumn=1^infty frac(-1)^nn^2 + 18. sumn=1^infty fracsin n2^n9. sumn=1^infty frac1 + 2 sin nn^30. sumn=1^infty (-1)^n-1 fracnn^2 + 41. sumn=2^infty frac(-1)^nln n2. sumn=1^infty (-1)^n fracnsqrtn^3 + 23. sumn=1^infty fraccos npi3n + 24. sumn=2^infty frac(-1)^nn ln n$

Added by Megan S.

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