Question

Let {-2sinx, if x ≤ -π/2, Asinx + B, If - π/2 < x < π/2. Then, cosx, if x ≥  π/2

(A) f is discontinuous for all A and B 

(B) f is continuous for all A = – 1 and B = 1 

(C) f is continuous for all A = 1 and B = –1 

(D) f is continuous for all real values of A, B

Answer 1

The correct option (B) f is continuous for all A = – 1 and B = 1

Explanation:

for continuity at x = π/2 and x = – π/2 

= –A + B and A + B = 0 

A = –1 and B = 1