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

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

A

`1/(1-x)`

B

`1/(1+x)`

C

`1/(1+x^2)`

D

`1/(1-x^2)`

Text Solution

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The correct Answer is:
D
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