1.1+1.91+1.991+1.9991+...+1.9999999991怎么简算

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1.1+1.91+1.991+1.9991+...+1.9999999991怎么简算
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1.1+1.91+1.991+1.9991+...+1.9999999991怎么简算
1.1+1.91+1.991+1.9991+...+1.9999999991怎么简算

1.1+1.91+1.991+1.9991+...+1.9999999991怎么简算
=(2-0.9)+(2-0.09)+(2-0.009)+(2-0.0009)+……+ (2-0.0000000009)
=20-0.9999999999
=19.0000000001