Question

(1 point) This series converges Check all of the following that are true for the series 5 sin na n2 n-1 OA. This series converges OB. This series diverges C. The integral test can be used to determine convergence of this series. D. The comparison test can be used to determine convergence of this series. E. The limit comparison test can be used to determine convergence of this series. OF. The ratio test can be used to determine convergence of this series. OG. The alternating series test can be used to determine convergence of this series.

Answer 1

Soln 5-smn² 22 n=1 An= 5-Sim (22) 22 using limit Comparison test bin an 느 p=2>1 Ebn={1 m2 Ebm by p- test Series. Jest Series Convergent Series Ebm is convergent Series. So Eam is Convergent Series s-Sim (m2) is convergent Series 3 ms n2 n=1 E Ang. ICS Scand will Ch Scanner

I'm Analins-Sim (m2) sw (A) s-som? n=1 n2 this series Convergent by p-dest Series p=2>1 thes Convergent Series IG) 5- Sm (m2) n=1 n2 an= s-Sim (22) - no no n2 a=s. Sim1 S- Sim 4 5-Sma? 02- 4 5 - Sim 2² 22 4 a> az series Convergent decersing Series then Es-Sinn?) is 3 S- Si im?) m2 と Eam n=1 n2 p- test {bn=En hun Compróison test Series Convergent Serie (B) This series do not clivergent CS