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The value of cot(sum(n=1)^2 cot^-1(1+sum...

The value of `cot(sum_(n=1)^2 cot^-1(1+sum_(k=1)^n 2k))` is (a) `23/25` (b) `25/23` (c) `23/24` (d) `25/26`

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