Explain why or why not Determine whether the
Chapter 8, Problem 51(choose chapter or problem)
Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. If a _ k = 1 ak converges, then a _ k = 10 ak converges. b. If a _ k = 1 ak diverges, then a _ k = 10 ak diverges. c. If gak converges, then g1ak + 0.00012 also converges. d. If gpk diverges, then g1p + 0.0012k diverges, for a fixed real number p. e. If gk-p converges, then gk-p + 0.001 converges. f. If lim kS_ ak = 0, then gak converges.
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