[Video Solution] Let α \in R be such that the function f(x) = \left\ \matrix \cos ^ - 1(1 - ... | ASPIRE STUDY

Let α \in R be such that the function f(x) = \left\ \matrix \cos ^ - 1(1 - \ x\ ^2)\sin ^ - 1(1 - \ x\ ) \over \ x\ - \ x\ ^3, & x \ne 0 \cr α , & x = 0 \cr \right. is continuous at x = 0, where x = x - [ x ] is the greatest integer less than or equal to x. Then : | Watch the step-by-step video solution for this NIMCET PYQ.