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The sum of series x/(1-x^2)+(x^2)/(1-x^4...

The sum of series `x/(1-x^2)+(x^2)/(1-x^4)+(x^4)/(1-x^8)+` to infinite terms, if `|x|<1,` is a. `x/(1-x)` b. `1/(1-x)` c. `(1+x)/(1-x)` d. `1`

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