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Which of the following statements are false? I. The sequences {an} and {on} must be positive for all n to apply the limit comparison test.

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Which of the following statements are false? I. The sequences {an} and {on} must be positive for all n to apply the limit comparison test. II. For the direct comparison test to be used, the series 2am must have no negative terms. a I1 "I. If {an} and {bn} meet the conditions of the limit comparison test. then. if lim bn =0 and 2b\" converges, then 2a\" converges. l'l>oo Cl A. Only statements I and II are false. {:1 B. Only statements I and III are false. Cl C. Only statements II and III are false. Cl D. All three statements are false. if) E. Only statementl is false. {:1 F. All three statements are true. if) G. Only statement II is false. {9.1 H. Only statement III is false. Does the following series converge absolutely, converge conditionally, or diverge? 8 ( - 1) n 5/4 + 5 n = 1 4n O A. The series converges absolutely. O B. The series converges conditionally. O C. The series diverges

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