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\frac{3}{2}

1 + \frac{1}{3} + {(\frac{1}{3})}^{2} + {(\frac{1}{3})}^{3} + . . . .

1 - {(\frac{1}{3})}^{2} + {(\frac{1}{3})}^{3} + {(\frac{1}{3})}^{4} + . . . .

1 - \frac{1}{3} + {(\frac{1}{3})}^{2} - {(\frac{1}{3})}^{3} + . . . .

\frac{1}{3} + {(\frac{1}{3})}^{2} + {(\frac{1}{3})}^{3} + . . . .

ANS : 1

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