Your best submission for each question part is used for your score. 1. 010.83 po

Question

Your best submission for each question part is used for your score. 1. 010.83 points | Previous Answers SCalcET8 11.4.001 Suppose Lan and Dn are series with positive terms and Dn is known to be convergent. (a) Ir an> Dn for all n, what can you say about an Why? an diverges by the Comparison Test. o We cannot say anything about a on converges by the Comparison Test. an converges if and only if an s 2D @ ?@n converges if and only if an S 4bn. bn for all n, what can you say about nWhy? on diverges by the Comparison Test. We cannot say anything about ? an converges if and only if 4 a, s bn. (b) If an n converges if and only if Dn s on s Dn en converges by the Comparison Test.

Explanation / Answer

(a)If an > bn for all n, and Ebn is convergent, then we cannot say anything about Ean.since it is not bounded above Eby bn.option b is correct.

(b) Since an is positive, the series Ean must be increasing since we are always adding a positive quantity to the partial sum (in other words, sn+1 > sn). If an < bn for all n, and Ebn is convergent, then Ean is convergent since it is bounded above by Ebn which converges.option e is correct. (E=sigma)

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.