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

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