At the point \( x=1 \), the function \[ f(x)=\left\{\begin{array}{ll} x^{3}-1, & 1x\infty \\ x-1...
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At the point \( x=1 \), the function
\[
f(x)=\left\{\begin{array}{ll}
x^{3}-1, & 1x\infty \\
x-1, & -\inftyx \leq 1
\end{array}\right.
\]
(A) continuous and differentiable
(B) continuous and not differentiable
(C) discontinuous and differentiable
(D) discontinuous and not differentiable
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