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Suppose an and Σbn are series with positive terms and Σ bn is known to be convergent. If an > bn for all n, what can you say about Σan? OA. an converges by Comparison Test. Ο Β. Σ an diverges by Comparison Test. OC. We cannot say anything about an.

Suppose an and Σbn are series with positive terms and Σ bn is known to be convergent. If an > bn for all n, what can you say about Σan? OA. an converges by Comparison Test. Ο Β. Σ an diverges by Comparison Test. OC. We cannot say anything about an.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Suppose \(\sum a_n\) and \(\sum b_n\) are series with positive terms and \(\sum b_n\) is known to be convergent. If \(a_n > b_n\) for all \(n\), what can you say about \(\sum a_n\)? - \( \bigcirc \) A. \(\sum a_n\) converges by Comparison Test. - \( \bigcirc \) B. \(\sum a_n\) diverges by Comparison Test. - \( \bigcirc \) C. We cannot say anything about \(\sum a_n\).
Transcribed Image Text:Suppose \(\sum a_n\) and \(\sum b_n\) are series with positive terms and \(\sum b_n\) is known to be convergent. If \(a_n > b_n\) for all \(n\), what can you say about \(\sum a_n\)? - \( \bigcirc \) A. \(\sum a_n\) converges by Comparison Test. - \( \bigcirc \) B. \(\sum a_n\) diverges by Comparison Test. - \( \bigcirc \) C. We cannot say anything about \(\sum a_n\).
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