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Question

The value of $\cot \left( {\sum\limits_{n = 1}^{50} {{{\tan }^{ - 1}}\left( {{1 \over {1 + n + {n^2}}}} \right)} } \right)$ is :

${{26} \over {25}}$
${{25} \over {26}}$
${{50} \over {51}}$
${{52} \over {51}}$

Solution

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