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If |x| lt 1,then the sum of the series 1...

If `|x| lt 1`,then the sum of the series `1 + 2x + 3x^(2) + 4x^(2) + ....infty` will be

A

`1/(1-x)`

B

`1/(1+x)`

C

`1/((1+x)^2)`

D

`1/((1-x)^2)`

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The correct Answer is:
D
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