求和0.9+0.99+0.999+0.9999+……+0.99999……9(n個9)這是數列裏的

求和0.9+0.99+0.999+0.9999+……+0.99999……9(n個9)這是數列裏的

0.9+0.99+0.999+0.9999+……+0.99999……9
=1-0.1+1-0.01+……+1-0.00000000.1
=n-(1-0.1^n)/9