Question

If Σ Cngh is convergent, can we conclude that each of the following series is convergent? n = n = 0 (a) ¿ co(-6) When compared to the original series, Ë cont", we see that x = here. Since the original ---Select--- ✓ for that particular value of x, we know that this n=0 --Select-- (b) i co(-8)" n = 0 Ý Cont", we see that x = here. Since the original -Select- for that particular When compared to the original series, n = 0 value of x, we know that this --Select-- Need Help? Read It Watch It Talk to a Tutor

Answer 1

(a) x=-6, converges,converges.

(b) x=-8, converges, converges.

SEE DETAILED ANSWER BELOW:

Since BN C 8n Convergent ntl lim Ent 18 21 In on lim Cnto Cn < 1 - 0 no (a) For Σ to (-6)", we hare n=0 6 Enti (-6)nti Cn (-6)" him no n00 Cntil 26=341 8 4 {using 0 } Cn ei I en (-6)" is convergent n=0 (6) For have no him nto n+00 C G (-)", we Conte (-8)"+' 1- loin 81 644 844 )=winy 0] G (-8)" enti (-8)nt CA (-8)" E A (-8)" is is convergent. مه 시 lim h00 < hoo