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CMCM3096
CMCM3096
07.05.2020 • 
Mathematics

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

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