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1.1+1.91+1.991+.......+1.99......9991

1.1+1.91+1.991+.......+1.99......9991 100个9 =(2-0.9)+(2-0.09)+(2-0.009)+.......+(2-0.00.......0009) 100个0 =202-(0.9+0.09+0.009+0.00.......0009) 100个0 =202-0.99......9999 101个9 =201.00.......0001 100个0

1.1+1.91+1.991+1.9991+1.99991+1.999991 =1+0.1+1+0.91+1+0.991+1+0.9991+1+0.99991+1+0.999991 =6+1.01++0.991+0.9991+0.99991+0.999991 =6+2.001++0.9991+0.99991+0.999991 =6+3.0001+0.99991+0.999991 =6+4.00001+0.999991 =6+5.000001 =11....

=2-0.9+2-0.09+...+2-0.0000000009=20-0.9999999999=19.0000000001

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