Let R be such that the function f(x)= cases ^ -1 (1- x ^2) ^ -1 (1- x ) x - x ^3 , & x 0 , & x=0 cases is...

Question

Let R be such that the function f(x)= cases ^ -1 (1- x ^2) ^ -1 (1- x ) x - x ^3 , & x 0 , & x=0 cases is continuous at x = 0, where x = x – [x], [x] is the greatest integer less than or equal to x. Then :

Accepted Answer

(C)

JEE Main 2021 Mathematics question

Solution