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The sum of the series 1 + 2x + 3x^(2) + ...

The sum of the series `1 + 2x + 3x^(2) + 4x^(3) +"…." ` to `oo` where x lies between 0 and 1 i.e., `0 lt x lt 1 ` is `:`

A

`( 1)/( 1+x)`

B

`( 1)/( 1-x)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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