哈哈,就是1可以看成是一个无穷等比数列0.9,0.09,0.009,0.0009,......的和0.9999999999999999999......=0.9/(1-0.1)=1首项为a1,公比为q(|q|<=1)无穷等比数列的和S=a1/(1-q)
设A=0.9999999999999...则:10A = 9.9999999999999999999则: 10A-A = 9A = 9得:A=1即: 0.999999999999... = 1