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Let f(x) = {(-2sin x, ",","if" x le -(pi...

Let `f(x) = {(-2sin x, ",","if" x le -(pi)/2),(A sin x + B, ",", "if"-(pi)/2 lt x lt (pi)/2 ),(cos x, ",", "if" x ge (pi)/2 ):}`
Then

A

(a) f(x) is discontinuous for all A and B

B

(b) f(x) is continuous for A = -1 and B = 1

C

(c) f(x) is continuous for A = 1 and B = -1

D

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

Text Solution

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The correct Answer is:
B
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