Suppose >an and >bn are series with positive terms and) bn is known to be divergent. (a) If an > bn for all n, what can you say about > a,? Why? We cannot say anything about > an. 2 an converges by the Comparison Test. 2 an converges if and only if 2an 2 bn. > an diverges by the Comparison Test. 2 an converges if and only if n-a, > bn. (b) If an < bn for all n, what can you say about > a,? Why? E an converges if and only if an < in bn We cannot say anything about > an. an converges by the Comparison Test. > an diverges by the Comparison Test. bn. 2 an converges if and only if an s 4

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