Suppose an and bn are series with positive terms and b, is

Last updated: 7/13/2022

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