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If absx lt1, then the sum of the series ...

If `absx lt1`, then the sum of the series `1+2x+3x^2 +4x^3 +cdot cdot cdot 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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