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# help

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If the following infinite series S is evaluated as a decimal,what is the 37th digit to the right of the decimal place?

$$\large S=\frac { 1 }{ 9 } +\frac { 1 }{ 99 } +\frac { 1 }{ 999 } +\ldots + \frac { 1 }{ { 10 }^{ n }-1 } + \ldots$$

Jun 15, 2020