Thus in this formalism the task is to show that the sequence of rational numbers ( 1 − 0 , 1 − 9 10 , 1 − 99 100 , … ) = ( 1 , 1 10 , 1 100 , … ) {\displaystyle \left(1-0,1-{9 \over 10},1-{99 \over 100},\dots \right)=\left(1,{1 \over 10},{1 \over 100},\dots \right)} has the limit 0.
Sehingga dalam formalisme ini, tugas kita adalah menunjukkan bahwa barisan bilangan rasional ( 1 − 0 , 1 − 9 10 , 1 − 99 100 , … ) = ( 1 , 1 10 , 1 100 , … ) {\displaystyle \left(1-0,1-{9 \over 10},1-{99 \over 100},\dots \right)=\left(1,{1 \over 10},{1 \over 100},\dots \right)} mempunyai limit 0.