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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^(100))/(4^(100)-1)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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