Only solve #15 and # 23

Verifying Divergence In Exercises 11-18, verify that the infinite series diverges. 18 11. S n=0 2 12. 4(-1.05)" n=0 n n 13. 14. in+1 2n + 3 2n 15. 16. n' + n2 In2 + 1 4" + 3 (n + 1)! 17. 18. 1= 1 4n+1 5n! Verifying Convergence In Exercises 19-24, verify that the infinite series converges. n 19. E 20. 2 1=0 21. (0.9)" = 1 + 0.9 + 0.81 + 0.729 + . .. n=0 22. . (-0.2)" = 1 - 0.2 + 0.04 - 0.008 + . .. 1=0 23. (Hint: Use partial fractions.) n= 1 n(n + 1) 1 24. (Hint: Use partial fractions.) n= n(n + 2)