Question

2. [-/2 Points] DETAILS SCALCET8 11.4.002. MY NOTES ASK YOUR TEACHER Suppose <a, and on are series with positive terms and Co is known to be divergent. (a) If an > b, for all n, what can you say about <a,? Why? Ο We cannot say anything about Σας: La converges if and only if n.a, 2 bn. La converges by the Comparison Test. La, diverges by the Comparison Test. a converges if and only if 2a, z on (b) If a, <b, for all n, what can you say about an? Why? La, diverges by the Comparison Test. La, converges if and only if an 3 n La converges if and only if a, s. Lan converges by the Comparison Test. Ο We cannot say anything about Σο,

Answer 1

a) an 7 bn nE IN so E an > E bn کیا و N given E bn is divergent. divergent so Ean is also So şan diverges by the com by the comparison test. option is correct b) ant bn V n EIN So EanL Ebn given E bn is divergent say anything about şan So we cannot