Gn=a1^2+a^2+…+an^2=a1^2q^0+a1^2q^2+…+a1^2q^(2n-2)=a1^2(q^2n-1)/(q^2-1)Sn=a1(q^n-1)/(q-1)limGn/Sn=lim{[a1^2(q^2n-1)/(q^2-1)]/[a1(q^n-1)/(q-1)]}=lim[a1(q^n+1)/(q+1)]当q<1,limGn/Sn=a1/(q+1)当q=1,limGn/Sn=a1当q>1,无极限