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categoryرياضيات schoolبكالوريوس event_available2026-07-14

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an Suppose that an > 0 and bn > 0 for n ≥N (N an integer). If lim = ∞ and Σan converges, can anything be said about b n-∞ n Σb? Give reasons for your answer. Choose the correct answer below. A. Nothing can be said about the series Σ bn. The Limit Comparison Test, in this case, does not mention anything about Σb being convergent or divergent when Σan converges. ○ B. n The series Σb is a divergent series. By the Limit Comparison Test, since lim = ∞ and and a converges, then Σb diverges. noo an ○ C. The series Σb is a convergent series. By the Limit Comparison Test, since lim = ∞ and and an bn noo converges, then Σb converges.

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