If x!=1,the value of 1/(x-1) - 1/(x+1) -...

If `x!=1`,the value of `1/(x-1) - 1/(x+1) -2/(x^2+1) - 4/(x^4+1)- 8/(x^8+1) - 16/(x^16-1)` is

A

`32/(x^4+1)`

B

0

C

1

D

`32/(x^32-1)`

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The correct Answer is:

D

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tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)