100 Assume that we know Σn=1 an ≤ Σn=1 bn ≤ 3 Σn=1 an and all the terms of series are positive. a. If Σ1 an converges, what can we say about 1 bn ? Why? b. If n=1 bn diverges, what can we say about Σn=1 an ? Why?

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