Question: Any real number in the interval [0, 1] can be represented by a decimal (not necessarily unique) as where d i is one of the

Any real number in the interval [0, 1] can be represented by a decimal (not necessarily unique) as0.djdd3d4... || d d + 10 10 + dz d + 10


where di is one of the integers 0, 1, 2, 3, . . . , 9. Prove that the series on the right-hand side always converges.

0.djdd3d4... || d d + 10 10 + dz d + 10 104 +

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