The sum of the series1/(x+1) + 2/(x^2+1)...

The sum of the series`1/(x+1) + 2/(x^2+1) +2^2/(x^4+1)+ ...+2^100/(x^200+1)` when x = 2 is :

A

`1+2^101/(4^101 -1`

B

`1+2^100/(4^101 -1`

C

`1+2^100/(4^100 -1`

D

`1-2^101/(4^101 -1`

Verified by Experts

The correct Answer is:

D

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