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Question

Let function f(x)={cosx+2 ; x0Asinx+B ; x>0
is continuous everywhere but not differentiable (A,BR), then

A
A=0
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B
B3
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C
A+B=3
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D
BA3
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Solution

The correct option is D BA3
For continuity f(0)=f(0+)=f(0)
3=B
and for non-differentiability
f(0)f(0+)
limx0(sinx)limx0+(Acosx)A0
BA3

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