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Sum of the series 1+2^2x +3^2x^2 + 4^2x...

Sum of the series `1+2^2x +3^2x^2 + 4^2x^3` …….to `oo` , `|x| < 1` is :

A

`(1+x)/((1-x)^3)`

B

`(1-x)/((1+x)^3)`

C

`(2+x)/((1-x)^3)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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