The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit di

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The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit di is one of the numbers 0, 1, 2 . . . 9) is that

Show that this series always converges.

dz d, 10 104 da 0.dıdzdsda.. 10 10?
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