Let f:R R be defined as f(x)= cases |x^2-5x+6| (5x-x^2-6) , & x2 , & x=2 cases where...

Question

Let f:R R be defined as f(x)= cases |x^2-5x+6| (5x-x^2-6) , & x<2 ^ ( x-2 x-[x] ) , & x>2 , & x=2 cases where [x] is the greatest integer less than or equal to x. If f is continuous at x = 2, then + is equal to :

Accepted Answer

(A)

JEE Main 2021 Mathematics question

Solution