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Number Theory Level 2

Consider the following series written in form of a decimal A=19+199+1999+....+110100−1A = \frac{1}{9} + \frac{1}{99} + \frac{1}{999} + .... + \frac{1}{10^{100} - 1}

Find the digit in the 7171st place after the decimal point.

Eddie The Head by Eddie The Head
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