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The sum of the series 1/2x^2+2/3x^3+3/4x...

The sum of the series `1/2x^2+2/3x^3+3/4x^4+4/5x^5+`... is :

A

`(x)/(1-x)+log(1-x)`

B

`(x)/(1+x)+log(1+x)`

C

`-(x)/(1+x)+log(1+x)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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