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The value of sum(m=1)^ootan^(- 1)((2m)/...

The value of `sum_(m=1)^ootan^(- 1)((2m)/(m^4+m^2+2))` is

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

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

sum_(m=1)^(n) tan^(-1) ((2m)/(m^(4) + m^(2) + 2)) is equal to

sum_(m=1)^(n) tan^(-1) ((2m)/(m^(4) + m^(2) + 2)) is equal to

Prove that : sum_(m=1)^n\ \ \ tan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+n)/(n^2+n+2))