Question

N/w Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. 00 n+2 7) n 1 1 A) converges, B) diverges C) converges, 2 D) inconclusive Determine if the series converges or diverges. If the series converges, find its sum. 6 81 8) 4n-1)(4n+3) n-1 A) converges; 1 B) converges C) converges; : 1 D) diverges 6 9) n(n+ 1)(n+2) D) converges; n-1 C) diverges 2 3 B) converges; 4 A) converges

Answer 1

T) nl Lim Cim O+ı (notn +2 for dtuetgence Teat nth- Teom dRuesges = 7) 4n-4+3) 1=Ls 42-1349t3) Sno LAn-134nt3) 1l- L 91 ) \\>15 4n-134443) 3 4 4 L4n-134513) 91011 + 4nt3)-4nt) A2L 3.7 N L -473)

A-A 7.1 L4n-123u 3), ·누-무그준~ 를 다 Sn: Lin int3 Sn 4ntl Sum S- im Sn=im Conuer A ntl C하시(+54 6는 ALA+I) 742) +84 5+2) +Cnnt1) A= 3 오A-b b-AU) b0+BL1) LI C: 3

nt2 n=1 nrt1)7) 3 -3 ntl 3 3 n+l 3+u +Qn ntl - nti 3 ntl Sn : lim Q = 3 1-0-t0) 3U3 3 3 COnverges, A