The value of `sum_(r=2)^(oo) tan^(-1)((1)/(r^(2)-5r+7))`, is

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The value of `sum_(r=2)^(oo) tan^(-1)((1)/(r^(2)-5r+7))`, is A. `pi/4` B. `pi/2` C. `(3pi)/(4)` D. `(5pi)/(4)`

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