因为(1+x)+(1+x)2+(1+x)3+…+(1+x)n=a0+a1x+a2x2+…+an-1xn-1+anxn,所以an-1=1+ C =n.所以 lim n→∞ 6n?5 2an?1 = lim n→∞ 6n?5 2n = lim n→∞ 6? 5 n 2 =3.故答案为:3.