Given the series: $1 + \frac{1}{9} + \frac{1}{81} + \frac{1}{729} + ...$ does this series converge or diverge? \begin{itemize} \item converges \item diverges \end{itemize} If the series converges, find the sum of the series: $1 + \frac{1}{9} + \frac{1}{81} + \frac{1}{729} + ... = $ (If the series diverges, leave this second box blank.)
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