\( f(x)=|x| \) and \( g(x)=\left|x^{3}\right| \) (A) \( f(x) \) and \( g(x) \) both are continuo...

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\( f(x)=|x| \) and \( g(x)=\left|x^{3}\right| \)
(A) \( f(x) \) and \( g(x) \) both are continuous at \( x=0 \)
(B) \( f(x) \) and \( g(x) \) both are differentiable at \( x=0 \)
(C) \( f(x) \) is differentiable but \( g(x) \) is not differentiable at \( x=0 \)
(D) \( f(x) \) and \( g(x) \) both are not differentiable at \( x=0 \).
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