a function \( f(x) \) isdefined as \( f(x)=\left\{\begin{array}{cc}\frac{x}{\sqrt{x^{2}}}, & , x...
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0a function \( f(x) \) isdefined as \( f(x)=\left\{\begin{array}{cc}\frac{x}{\sqrt{x^{2}}}, & , x \neq 0 \\ 0 & , x=0\end{array}\right. \)
(A) \( f(x) \) is continuous at \( x=0 \) but not differentiable at \( x=0 \)
(B) \( f(x) \) is continuous as well as differentiable at \( x=0 \)
(C) \( f(x) \) is discontinuous at \( x=0 \)
(D) none of these
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