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sum(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)...

`sum_(m=1)^(oo)Tan^(-1) ((2m)/(m^(4)+m^(2)+2))=`

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

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

Text Solution

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The correct Answer is:
A
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