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If 0 < a, b < 1, and tan-1a + tan-1b = π \over 4, then the value of (a + b) - \left( a^2 + b^2 \over 2 \right) + \left( a^3 + b^3 \over 3 \right) - \left( a^4 + b^4 \over 4 \right) + ..... is : | Watch the step-by-step video solution for this NIMCET PYQ.