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The sum of 100 terms of the series . 9+....

The sum of 100 terms of the series `. 9+. 09+. 009` ..... will be
(a) `1-(1/1)^(100)`
(b) `1+(1/1)^(106)`
(c) `1-(1/1)^(106)`
(d) `1+(1/1)^(100)`

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