\( f(x)=\left\{\begin{array}{cc}\frac{\sin x^{2}}{x}, & x \neq 0 \text { is } \\ 0, & x=0\end{ar...
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\( f(x)=\left\{\begin{array}{cc}\frac{\sin x^{2}}{x}, & x \neq 0 \text { is } \\ 0, & x=0\end{array}\right. \)
(A) continuous and derivable at \( x=0 \)
(B) neither continuous nor derivable at \( x=0 \)
(C) continuous but not derivable at \( x=0 \)
(D) none of these
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