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If tan−147+tan−1419+tan−1439+tan−1467+⋯∞=π4+cot−1k, where k∈Z, then the value of ′k′ is

Answer» If tan−147+tan−1419+tan−1439+tan−1467+⋯∞=π4+cot−1k, where k∈Z, then the value of ′k′ is


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