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Problem

Is the following infinite geometric series convergent or divergent?
1, plus, start fraction, 8, divided by, 9, end fraction, plus, left parenthesis, start fraction, 8, divided by, 9, end fraction, right parenthesis, start superscript, 2, end superscript, plus, left parenthesis, start fraction, 8, divided by, 9, end fraction, right parenthesis, start superscript, 3, end superscript, point, point, point
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