series, usi the limit com- parison test. ca If you suspect that a series _k=1 ak converges, explain E why you would want to compare the series with a conver- 19. In gent series, using either the comparison test or the limit comparison test. th 10. Briefly outline the advantages and disadvantages of P using the two comparison tests to analyze the behavior 20. Ir of a series _*=1 ak. S Skills In Exercises 21-30 use one of the comparison tests to de- termine whether the series converges or diverges. Explain 27. how the given series satisfies the hypotheses of the test you use. 3 k2 + 1 3 29. 21. E 22. * 3+ * 2 + 5 (1 + 2k) 2 K = 0 K=1 Use VK tion 3k -5 100 23. 24. ver 1 + k2 K = 2 KVK3 - 4 K = 1 of t 1 + Ink 00 1 31. 25. M 26. k k + 0.01 k= 1