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Let $f(x)=|x|$, for $x \in(-\infty, \infty)$. Then

  1. $f(x)$ is not continuous but differentiable.
  2. $f(x)$ is continuous and differentiable.
  3. $f(x)$ is continuous but not differentiable.
  4. $f(x)$ is neither continuous nor differentiable.
  5. None of the above.

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