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If tan^-1(1/3) + tan^-1(1/4) + tan^-1(1/5) + tan^-1(1/n) = π/4 where n ∈ N, then find n

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If tan-1(1/3) + tan-1(1/4) + tan-1(1/5) + tan-1(1/n) = π/4 where n ∈ N, then find n

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Given equation is

tan-1(1/3) + tan-1(1/4) + tan-1(1/5) + tan-1(1/n) = π/4

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