If $f(x) = |x|/x$ for $x \neq 0$ and $1$ for $x = 0$,then the function is
- Acontinuous but not differentiable at $x = 0$
- Bdifferentiable but not continuous at $x = 0$
- Cneither continuous nor differentiable at $x = 0$
- Dcontinuous and differentiable at $x = 0$
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