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If `x` is positive, the sum to infinity of the series `1/(1+x)-(1-x)/((1+x)^2)+(1-x) ^2/((1+x)^3)-(1-x)^3/((1+x)^4)+....... i s` (a)1/2 (b) 3/4 (c) 1 (d) none of these

A

`1/4`

B

`1/2`

C

`3/4`

D

`1`

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The correct Answer is:
A
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