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Sum to infinite terms of a gp - class-XI

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Multiple Choice

The value of $3 - 1 + \frac{1}{3} - \frac{1}{9} +  \ldots $ is equal to

  1. $\dfrac{{20}}{9}$
  2. $\dfrac{{9}}{20}$
  3. $\dfrac{{9}}{4}$
  4. $\dfrac{{4}}{9}$