Given that \( f(x)=x g(x) /|x|, g(0)=g^{\prime}(0)=0 \) and \( f(x) \) is continuous at \( x=0 \...
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0Given that \( f(x)=x g(x) /|x|, g(0)=g^{\prime}(0)=0 \) and \( f(x) \) is continuous at \( x=0 \). Then the value of \( f^{\prime}(0) \)
(A) does not exists
(B) is \( -1 \)
(C) is 1
(D) is 0
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