(a) Suppose that Σa_n and Σb_n are series with positive terms and Σb_n is d…

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(a) Suppose that Σa_n and Σb_n are series with positive terms and Σb_n is divergent. Prove that if lim_n →∞ a_n/b_n=∞then Σa_n is also divergent. (b) Use part (a) to show that the series diverges. (i) ∑_n=2^∞ 1/lnn (ii) ∑_n=1^∞ lnn/n

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  1. Harris Anderson
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