比较(3的2000次方+1)/(3的2001次方+1)与(3的2001次方+1)/(3的2002次方+1)的大小

设3^2000=a,3^2001=b,3^2002=c 则c>b>a>0,ac=b^2,c=3b 易知(a+1)/(b+1)与(b+1)/(c+1)都是正数 a+c>3b>2b (b+1)^2=b^2+2b+1<ac+a+c+1=(a+1)(c+1) (b+1)^2<(a+1)(c+1) (b+1)^2/(c+1)<(a+1) (b+1)/(c+1)<(a+1)/(b+1) 故(a+1)&#