Let f : R R be defined as f(x)= cases x^3 (1- 2x)^2 _e ( 1+2xe^ -2x (1-xe^ -x )^2 ), & x 0 , & x=0 cases If f...

Question

Let f : R R be defined as f(x)= cases x^3 (1- 2x)^2 _e ( 1+2xe^ -2x (1-xe^ -x )^2 ), & x 0 , & x=0 cases If f is continuous at x = 0, then is equal to :

Accepted Answer

(A)

JEE Main 2021 Mathematics question

Solution