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Let f : R \to R be defined as f(x) = \left\ \matrix x^3 \over (1 - \cos 2x)^2\log _e\left( 1 + 2xe^ - 2x \over (1 - xe^ - x)^2 \right), & x \ne 0 \cr α , & x = 0 \cr \right. If f is continuous at x = 0, then α is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.