If the function f(x)= cases 1 x _e ( 1+ x a 1- x b ), & x0 cases is...

Question

If the function f(x)= cases 1 x _e ( 1+ x a 1- x b ), & x<0 , & x=0 ^2x- ^2x-1 x^2+1 -1 , & x>0 cases is continuous at x = 0, then 1 2 + 1 b + 4 k is equal to :

Accepted Answer

(A)

JEE Main 2021 Mathematics question

Solution