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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

f is discontinuous for all A and B

B

f is continuous for al `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.

Text Solution

Verified by Experts

The correct Answer is:
B
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