The meaning of the decimal representation of a number 0.d1d2d3 (where the digit d1 is one of

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The meaning of the decimal representation of a number 0.d1d2d3 (where the digit d1 is one of the numbers 0, 1, 2,...,9) is that
0.d1d2d3...= d1/10 d2/102 + d3/103 + d4/104 + ...
Show that this series always converges.
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