计算:1-1/10-1/100-1/1000-1/10000-1/100000递等式,如果不行,就直接写一个答案,

-1/10-1/100-1/1000-1/10000-1/100000=X
-1-1/10-1/100-...-1/10000
X-10X
=1-1/100000=-9X
X=-11111/100000
原式=1-11111/100000
=88889/100000

1-1/10-1/100-1/1000-1/10000-1/100000
=1-(1/10+1/100+1/1000+1/10000+1/100000)
=1-11111/100000
=88889/100000
=0.88889

1－1/10－1/100－1/1000－1/10000－1/100000＝1－0.1－0.01－0.001－0.0001－0.00001＝1－(0.1＋0.01＋0.001＋0.0001＋0.00001)＝1－0.11111 (或者1－11111/100000)＝0.88889 (或者88889/100000)...