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Question

If XR, then sgn (X2+1) is equal to

A
0 or 1
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B
0
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C
1
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D
1
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Solution

The correct option is C 1
We know that sgn(x)=1forx>0
sgn(x)=0forx=0
sgn(x)=1forx<0
So, sgn(x)=x|x|
similarly,sgn(x2+1)=(x2+1)|x2+1|
if x is real then x2+1>0
therefore, sgn(x2+1)=1

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