Question

Find the radius of convergence, R, of the series. (-1)"x Σ Find 00 n n = 1 R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = [-/1.04 Points] DETAILS SCALCET8 11.8.014. Find the radius of convergence, R, of the series. 00 x8n n! n = 1 R= Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

Answer 1

(۱) In int 11 na) lim GOT7 (n+1) ģ (7) lalim anth R On R R=) lal 9 and lim ho (n+D Gintant) xo (-)" an convergent divergent which is alternating if lxlcl it talal sum st na1 S 9) n then n=1 if 2=1 and lim nyoo na it is convergent and test Series [-1,1] decreasing By alternating IE -) SUS] - 1a15! 8n 2 I Mo n=1 n! pl lim Ixn! (n+)! anti lim . ) -7 na sal R R=0 O lim R ny (n+Dogo nya R beck It converges everywhere I - (200,00) (+7)? 3 E 7 ln (n) n=1 lim ln (n) In (n) 7 (hint) 7 R no sel lim Intl en (nt) lim nt) 7n R nyo lim nya na ol R nt =) R = 7 ka .) 7 R

en (n) x 7 lim (x+7)+ Now then(at) Ax+7) 2+7 (247) x lon 4 ln(n+1) れいか convergent divergent if | +31 < x+7 (947) - 1 기 - enn no lan if x+1 n=2 n-2 then s h=2 in ln(n) if that lonan Know we V n72 lon n -- But she is divergent test it is divergent com pansion -7 C#+7<7 al 7+7 sos -7-1 <267-7 -14<x<0 (-14,0) (1+ (%)'] 2 a' f(x) ?? 16 unt? (-1) u Ч-н6 16(lt at 1+ 3 16 n0 16 não (2) R16 26-0? unt6 ant2 lim لياني E * 169+1 16 n0 ight! nyo 16 n+2. punta divergent convergent (기 if x divergent for any if then x² (4) is 16 S nzo -2 cac 2 lak 27 VICT I. -6-2,2)