Question

If f(x) = {(xsinx, when 0 < x ≤ π/2), (π/2sin(π + x), when π/2 < x < π), then

(A) f(x) is discontinuous at x = π/2 

(B) f(x) is continuous at x = π/2 

(C) f(x) is continuous at x = 0 

(D) None of these

Answer 1

Answer is (A) f(x) is discontinuous at x = π/2