If \( f(x)=\left\{\begin{array}{cl}x^{a} \sin \left(\frac{1}{x}\right) & \forall x \neq 0 \\ 0 &...

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If \( f(x)=\left\{\begin{array}{cl}x^{a} \sin \left(\frac{1}{x}\right) & \forall x \neq 0 \\ 0 & \forall x=0\end{array}\right. \) is continuous but not differentiable at \( \mathrm{x}=0 \), then
(a) \( a \in(-1,0) \)
(b) \( a \in(0,2] \)
(c) \( a \in(0,1] \)
(d) \( a \in[1,2) \)
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