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If the function f(x) = \left\ \matrix 1 \over x\log _e\left( 1 + x \over a \over 1 - x \over b \right) & , & x < 0 \cr k & , & x = 0 \cr \cos ^2x - \sin ^2x - 1 \over √ x^2 + 1 - 1 & , & x > 0 \cr \right. is continuous at x = 0, then 1 \over a + 1 \over b + 4 \over k is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.