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The value of sum(m=1)^(n) "tan"^(-1)((...

The value of ` sum_(m=1)^(n) "tan"^(-1)((2m)/(m^(4) + m^(2) +2 )) ` is :

A

`tan^(-1) ((n^(2)+n)/(n^(2)+n+2))`

B

`tan^(-1) ((n^(2)-n)/(n^(2)-n+2))`

C

`tan^(-1) ((n^(2)+n+2)/(n^(2)+n))`

D

none of these

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Verified by Experts

The correct Answer is:
A
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