Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. Suppose that 0 6 ak 6 bk. If gak converges, then gbk converges. b. Suppose that 0 6 ak 6 bk. If gak diverges, then gbk diverges. c. Suppose 0 6 bk 6 ck 6 ak. If gak converges, then gbk and gck converge. d. The Ratio Test is always inconclusive when applied to gak, where ak is a rational function of k.

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