x=±2
分母x+2≠0
所以x=2
原式=[(x+1)(x-1)/(x+2)(x-1)]/[(x^2+2x+1)/(x^2+2x)]
=[(x+1)/(x+2)][x(x+2)/(x+1)^2]
=x/(x+1)
=2/3
Sn=3a(n+1)
n>=2
S(n-1)=3an
相减
Sn-S(n-1)=an=3a(n+1)-3an
a(n+1)=4/3*an
等比,q=4/3
a2=1/3*S1=1/3*a1=1/3
所以
an=
1,n=1
(1/3)*(4/3)^(n-2),n≥2
偶数项则公比=q^2=16/9
a2=1/3
所以=1/3*[1-(16/9)^n]/(1-16/9)
=-3/7*[1-(16/9)^n]