Interesting series

Consider the following series written in form of a decimal \( \frac { 1 }{ 9 } +\frac { 1 }{ 99 } +\frac { 1 }{ 999 } +\frac { 1 }{ 9999 } ...+\frac { 1 }{ { 1 }0^{ n }-1 } +...\\ \)

Find the digit in the \( 2014st \) place after the decimal point.

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